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Finding the Fourth Proportional to 527,184.74, 727,486.17 and 312,344.66

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Solution

The fourth proportional to 527,184.74, 727,486.17 and 312,344.66 is: 431,018.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,184.74 : 727,486.17 = 312,344.66 : x
  2. Step 2: Convert to fraction form
    527,184.74/727,486.17 = 312,344.66/x
  3. Step 3: Cross multiply
    527,184.74x = 727,486.17 × 312,344.66
  4. Step 4: Simplify right side
    527,184.74x = 227,226,420,423.35
  5. Step 5: Solve for x
    x = 227,226,420,423.35/527,184.74
  6. Step 6: Final answer
    x = 431,018.58

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