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Finding the Fourth Proportional to 542,928.66, 749,251.46 and 297,926.06

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Solution

The fourth proportional to 542,928.66, 749,251.46 and 297,926.06 is: 411,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,928.66 : 749,251.46 = 297,926.06 : x
  2. Step 2: Convert to fraction form
    542,928.66/749,251.46 = 297,926.06/x
  3. Step 3: Cross multiply
    542,928.66x = 749,251.46 × 297,926.06
  4. Step 4: Simplify right side
    542,928.66x = 223,221,530,191.16
  5. Step 5: Solve for x
    x = 223,221,530,191.16/542,928.66
  6. Step 6: Final answer
    x = 411,143.39

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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.