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Finding the Fourth Proportional to 527,113.76, 727,370.13 and 312,219.14

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Solution

The fourth proportional to 527,113.76, 727,370.13 and 312,219.14 is: 430,834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,113.76 : 727,370.13 = 312,219.14 : x
  2. Step 2: Convert to fraction form
    527,113.76/727,370.13 = 312,219.14/x
  3. Step 3: Cross multiply
    527,113.76x = 727,370.13 × 312,219.14
  4. Step 4: Simplify right side
    527,113.76x = 227,098,876,450.29
  5. Step 5: Solve for x
    x = 227,098,876,450.29/527,113.76
  6. Step 6: Final answer
    x = 430,834.66

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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.