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Finding the Fourth Proportional to 542,196.32, 748,311.62 and 312,710.76

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Solution

The fourth proportional to 542,196.32, 748,311.62 and 312,710.76 is: 431,587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,196.32 : 748,311.62 = 312,710.76 : x
  2. Step 2: Convert to fraction form
    542,196.32/748,311.62 = 312,710.76/x
  3. Step 3: Cross multiply
    542,196.32x = 748,311.62 × 312,710.76
  4. Step 4: Simplify right side
    542,196.32x = 234,005,093,843.48
  5. Step 5: Solve for x
    x = 234,005,093,843.48/542,196.32
  6. Step 6: Final answer
    x = 431,587.39

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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.