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Finding the Fourth Proportional to 542,956.42, 749,265.54 and 297,940.43

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Solution

The fourth proportional to 542,956.42, 749,265.54 and 297,940.43 is: 411,149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,956.42 : 749,265.54 = 297,940.43 : x
  2. Step 2: Convert to fraction form
    542,956.42/749,265.54 = 297,940.43/x
  3. Step 3: Cross multiply
    542,956.42x = 749,265.54 × 297,940.43
  4. Step 4: Simplify right side
    542,956.42x = 223,236,495,388.97
  5. Step 5: Solve for x
    x = 223,236,495,388.97/542,956.42
  6. Step 6: Final answer
    x = 411,149.94

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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.