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Finding the Fourth Proportional to 488,142.10, 732,650.55 and 421,657.30

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Solution

The fourth proportional to 488,142.10, 732,650.55 and 421,657.30 is: 632,863.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,142.10 : 732,650.55 = 421,657.30 : x
  2. Step 2: Convert to fraction form
    488,142.10/732,650.55 = 421,657.30/x
  3. Step 3: Cross multiply
    488,142.10x = 732,650.55 × 421,657.30
  4. Step 4: Simplify right side
    488,142.10x = 308,927,452,756.52
  5. Step 5: Solve for x
    x = 308,927,452,756.52/488,142.10
  6. Step 6: Final answer
    x = 632,863.78

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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.