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Finding the Fourth Proportional to 542,732.68, 748,105.98 and 427,824.06

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Solution

The fourth proportional to 542,732.68, 748,105.98 and 427,824.06 is: 589,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,732.68 : 748,105.98 = 427,824.06 : x
  2. Step 2: Convert to fraction form
    542,732.68/748,105.98 = 427,824.06/x
  3. Step 3: Cross multiply
    542,732.68x = 748,105.98 × 427,824.06
  4. Step 4: Simplify right side
    542,732.68x = 320,057,737,673.88
  5. Step 5: Solve for x
    x = 320,057,737,673.88/542,732.68
  6. Step 6: Final answer
    x = 589,715.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.