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Finding the Fourth Proportional to 584,000.20, 876,000.30 and 465,902.20

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Solution

The fourth proportional to 584,000.20, 876,000.30 and 465,902.20 is: 698,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,000.20 : 876,000.30 = 465,902.20 : x
  2. Step 2: Convert to fraction form
    584,000.20/876,000.30 = 465,902.20/x
  3. Step 3: Cross multiply
    584,000.20x = 876,000.30 × 465,902.20
  4. Step 4: Simplify right side
    584,000.20x = 408,130,466,970.66
  5. Step 5: Solve for x
    x = 408,130,466,970.66/584,000.20
  6. Step 6: Final answer
    x = 698,853.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.