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Finding the Fourth Proportional to 475,834.80, 714,335.40 and 472,335.60

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Solution

The fourth proportional to 475,834.80, 714,335.40 and 472,335.60 is: 709,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,834.80 : 714,335.40 = 472,335.60 : x
  2. Step 2: Convert to fraction form
    475,834.80/714,335.40 = 472,335.60/x
  3. Step 3: Cross multiply
    475,834.80x = 714,335.40 × 472,335.60
  4. Step 4: Simplify right side
    475,834.80x = 337,406,039,760.24
  5. Step 5: Solve for x
    x = 337,406,039,760.24/475,834.80
  6. Step 6: Final answer
    x = 709,082.31

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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.