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Finding the Fourth Proportional to 647,149.80, 970,724.70 and 584,164.20

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Solution

The fourth proportional to 647,149.80, 970,724.70 and 584,164.20 is: 876,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,149.80 : 970,724.70 = 584,164.20 : x
  2. Step 2: Convert to fraction form
    647,149.80/970,724.70 = 584,164.20/x
  3. Step 3: Cross multiply
    647,149.80x = 970,724.70 × 584,164.20
  4. Step 4: Simplify right side
    647,149.80x = 567,062,617,795.74
  5. Step 5: Solve for x
    x = 567,062,617,795.74/647,149.80
  6. Step 6: Final answer
    x = 876,246.30

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Double scale
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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.