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Finding the Fourth Proportional to 488,114.60, 731,394.30 and 362,143.40

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Solution

The fourth proportional to 488,114.60, 731,394.30 and 362,143.40 is: 542,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,114.60 : 731,394.30 = 362,143.40 : x
  2. Step 2: Convert to fraction form
    488,114.60/731,394.30 = 362,143.40/x
  3. Step 3: Cross multiply
    488,114.60x = 731,394.30 × 362,143.40
  4. Step 4: Simplify right side
    488,114.60x = 264,869,618,542.62
  5. Step 5: Solve for x
    x = 264,869,618,542.62/488,114.60
  6. Step 6: Final answer
    x = 542,638.18

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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.