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Finding the Fourth Proportional to 858,792.86, 1,286,227.22 and 409,829

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Solution

The fourth proportional to 858,792.86, 1,286,227.22 and 409,829 is: 613,807.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,792.86 : 1,286,227.22 = 409,829 : x
  2. Step 2: Convert to fraction form
    858,792.86/1,286,227.22 = 409,829/x
  3. Step 3: Cross multiply
    858,792.86x = 1,286,227.22 × 409,829
  4. Step 4: Simplify right side
    858,792.86x = 527,133,215,345.38
  5. Step 5: Solve for x
    x = 527,133,215,345.38/858,792.86
  6. Step 6: Final answer
    x = 613,807.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.