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Finding the Fourth Proportional to 584,442.30, 876,663.45 and 413,200.20

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Solution

The fourth proportional to 584,442.30, 876,663.45 and 413,200.20 is: 619,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,442.30 : 876,663.45 = 413,200.20 : x
  2. Step 2: Convert to fraction form
    584,442.30/876,663.45 = 413,200.20/x
  3. Step 3: Cross multiply
    584,442.30x = 876,663.45 × 413,200.20
  4. Step 4: Simplify right side
    584,442.30x = 362,237,512,872.69
  5. Step 5: Solve for x
    x = 362,237,512,872.69/584,442.30
  6. Step 6: Final answer
    x = 619,800.30

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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.