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Finding the Fourth Proportional to 542,057.39, 813,215.28 and 187,074.50

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Solution

The fourth proportional to 542,057.39, 813,215.28 and 187,074.50 is: 280,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,057.39 : 813,215.28 = 187,074.50 : x
  2. Step 2: Convert to fraction form
    542,057.39/813,215.28 = 187,074.50/x
  3. Step 3: Cross multiply
    542,057.39x = 813,215.28 × 187,074.50
  4. Step 4: Simplify right side
    542,057.39x = 152,131,841,898.36
  5. Step 5: Solve for x
    x = 152,131,841,898.36/542,057.39
  6. Step 6: Final answer
    x = 280,656.34

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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.