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Finding the Fourth Proportional to 732,463.92, 1,010,863.80 and 410,168.16

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Solution

The fourth proportional to 732,463.92, 1,010,863.80 and 410,168.16 is: 566,067.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,463.92 : 1,010,863.80 = 410,168.16 : x
  2. Step 2: Convert to fraction form
    732,463.92/1,010,863.80 = 410,168.16/x
  3. Step 3: Cross multiply
    732,463.92x = 1,010,863.80 × 410,168.16
  4. Step 4: Simplify right side
    732,463.92x = 414,624,144,856.61
  5. Step 5: Solve for x
    x = 414,624,144,856.61/732,463.92
  6. Step 6: Final answer
    x = 566,067.67

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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.