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Finding the Fourth Proportional to 542,155.87, 748,141.27 and 300,424.33

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Solution

The fourth proportional to 542,155.87, 748,141.27 and 300,424.33 is: 414,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,155.87 : 748,141.27 = 300,424.33 : x
  2. Step 2: Convert to fraction form
    542,155.87/748,141.27 = 300,424.33/x
  3. Step 3: Cross multiply
    542,155.87x = 748,141.27 × 300,424.33
  4. Step 4: Simplify right side
    542,155.87x = 224,759,839,785.10
  5. Step 5: Solve for x
    x = 224,759,839,785.10/542,155.87
  6. Step 6: Final answer
    x = 414,566.83

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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.