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Finding the Fourth Proportional to 488,114.10, 731,393.55 and 362,142.90

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Solution

The fourth proportional to 488,114.10, 731,393.55 and 362,142.90 is: 542,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,114.10 : 731,393.55 = 362,142.90 : x
  2. Step 2: Convert to fraction form
    488,114.10/731,393.55 = 362,142.90/x
  3. Step 3: Cross multiply
    488,114.10x = 731,393.55 × 362,142.90
  4. Step 4: Simplify right side
    488,114.10x = 264,868,981,238.30
  5. Step 5: Solve for x
    x = 264,868,981,238.30/488,114.10
  6. Step 6: Final answer
    x = 542,637.43

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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.