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Finding the Fourth Proportional to 542,684.90, 748,951.17 and 301,045.32

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Solution

The fourth proportional to 542,684.90, 748,951.17 and 301,045.32 is: 415,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,684.90 : 748,951.17 = 301,045.32 : x
  2. Step 2: Convert to fraction form
    542,684.90/748,951.17 = 301,045.32/x
  3. Step 3: Cross multiply
    542,684.90x = 748,951.17 × 301,045.32
  4. Step 4: Simplify right side
    542,684.90x = 225,468,244,637.02
  5. Step 5: Solve for x
    x = 225,468,244,637.02/542,684.90
  6. Step 6: Final answer
    x = 415,468.06

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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.