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Finding the Fourth Proportional to 514,144.73, 709,527.06 and 296,233.20

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Solution

The fourth proportional to 514,144.73, 709,527.06 and 296,233.20 is: 408,806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,144.73 : 709,527.06 = 296,233.20 : x
  2. Step 2: Convert to fraction form
    514,144.73/709,527.06 = 296,233.20/x
  3. Step 3: Cross multiply
    514,144.73x = 709,527.06 × 296,233.20
  4. Step 4: Simplify right side
    514,144.73x = 210,185,471,470.39
  5. Step 5: Solve for x
    x = 210,185,471,470.39/514,144.73
  6. Step 6: Final answer
    x = 408,806.04

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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.