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Finding the Fourth Proportional to 684,882.14, 944,923.12 and 413,033.18

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Solution

The fourth proportional to 684,882.14, 944,923.12 and 413,033.18 is: 569,856.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,882.14 : 944,923.12 = 413,033.18 : x
  2. Step 2: Convert to fraction form
    684,882.14/944,923.12 = 413,033.18/x
  3. Step 3: Cross multiply
    684,882.14x = 944,923.12 × 413,033.18
  4. Step 4: Simplify right side
    684,882.14x = 390,284,595,351.92
  5. Step 5: Solve for x
    x = 390,284,595,351.92/684,882.14
  6. Step 6: Final answer
    x = 569,856.59

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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.