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Finding the Fourth Proportional to 527,977.04, 729,209.70 and 357,915.92

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Solution

The fourth proportional to 527,977.04, 729,209.70 and 357,915.92 is: 494,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,977.04 : 729,209.70 = 357,915.92 : x
  2. Step 2: Convert to fraction form
    527,977.04/729,209.70 = 357,915.92/x
  3. Step 3: Cross multiply
    527,977.04x = 729,209.70 × 357,915.92
  4. Step 4: Simplify right side
    527,977.04x = 260,995,757,002.38
  5. Step 5: Solve for x
    x = 260,995,757,002.38/527,977.04
  6. Step 6: Final answer
    x = 494,331.65

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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.