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Finding the Fourth Proportional to 363,013.42, 544,520.67 and 141,397.42

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Solution

The fourth proportional to 363,013.42, 544,520.67 and 141,397.42 is: 212,096.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,013.42 : 544,520.67 = 141,397.42 : x
  2. Step 2: Convert to fraction form
    363,013.42/544,520.67 = 141,397.42/x
  3. Step 3: Cross multiply
    363,013.42x = 544,520.67 × 141,397.42
  4. Step 4: Simplify right side
    363,013.42x = 76,993,817,874.67
  5. Step 5: Solve for x
    x = 76,993,817,874.67/363,013.42
  6. Step 6: Final answer
    x = 212,096.34

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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.