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Finding the Fourth Proportional to 527,140.53, 727,454.34 and 285,423.30

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Solution

The fourth proportional to 527,140.53, 727,454.34 and 285,423.30 is: 393,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,140.53 : 727,454.34 = 285,423.30 : x
  2. Step 2: Convert to fraction form
    527,140.53/727,454.34 = 285,423.30/x
  3. Step 3: Cross multiply
    527,140.53x = 727,454.34 × 285,423.30
  4. Step 4: Simplify right side
    527,140.53x = 207,632,418,322.12
  5. Step 5: Solve for x
    x = 207,632,418,322.12/527,140.53
  6. Step 6: Final answer
    x = 393,884.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.