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Finding the Fourth Proportional to 527,001.38, 727,080.17 and 297,530.02

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Solution

The fourth proportional to 527,001.38, 727,080.17 and 297,530.02 is: 410,488.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,001.38 : 727,080.17 = 297,530.02 : x
  2. Step 2: Convert to fraction form
    527,001.38/727,080.17 = 297,530.02/x
  3. Step 3: Cross multiply
    527,001.38x = 727,080.17 × 297,530.02
  4. Step 4: Simplify right side
    527,001.38x = 216,328,177,521.70
  5. Step 5: Solve for x
    x = 216,328,177,521.70/527,001.38
  6. Step 6: Final answer
    x = 410,488.83

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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.