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Finding the Fourth Proportional to 387,318.36, 581,006.52 and 106,833

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Solution

The fourth proportional to 387,318.36, 581,006.52 and 106,833 is: 160,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,318.36 : 581,006.52 = 106,833 : x
  2. Step 2: Convert to fraction form
    387,318.36/581,006.52 = 106,833/x
  3. Step 3: Cross multiply
    387,318.36x = 581,006.52 × 106,833
  4. Step 4: Simplify right side
    387,318.36x = 62,070,669,551.16
  5. Step 5: Solve for x
    x = 62,070,669,551.16/387,318.36
  6. Step 6: Final answer
    x = 160,257.49

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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.