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Finding the Fourth Proportional to 488,122.60, 731,406.30 and 362,151.40

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Solution

The fourth proportional to 488,122.60, 731,406.30 and 362,151.40 is: 542,650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,122.60 : 731,406.30 = 362,151.40 : x
  2. Step 2: Convert to fraction form
    488,122.60/731,406.30 = 362,151.40/x
  3. Step 3: Cross multiply
    488,122.60x = 731,406.30 × 362,151.40
  4. Step 4: Simplify right side
    488,122.60x = 264,879,815,513.82
  5. Step 5: Solve for x
    x = 264,879,815,513.82/488,122.60
  6. Step 6: Final answer
    x = 542,650.18

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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.