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Finding the Fourth Proportional to 522,473.25, 783,719.60 and 148,505.97

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Solution

The fourth proportional to 522,473.25, 783,719.60 and 148,505.97 is: 222,761.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,473.25 : 783,719.60 = 148,505.97 : x
  2. Step 2: Convert to fraction form
    522,473.25/783,719.60 = 148,505.97/x
  3. Step 3: Cross multiply
    522,473.25x = 783,719.60 × 148,505.97
  4. Step 4: Simplify right side
    522,473.25x = 116,387,039,220.38
  5. Step 5: Solve for x
    x = 116,387,039,220.38/522,473.25
  6. Step 6: Final answer
    x = 222,761.72

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Why These Related Problems?

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