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Finding the Fourth Proportional to 488,143.60, 732,652.80 and 421,658.80

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Solution

The fourth proportional to 488,143.60, 732,652.80 and 421,658.80 is: 632,866.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,143.60 : 732,652.80 = 421,658.80 : x
  2. Step 2: Convert to fraction form
    488,143.60/732,652.80 = 421,658.80/x
  3. Step 3: Cross multiply
    488,143.60x = 732,652.80 × 421,658.80
  4. Step 4: Simplify right side
    488,143.60x = 308,929,500,464.64
  5. Step 5: Solve for x
    x = 308,929,500,464.64/488,143.60
  6. Step 6: Final answer
    x = 632,866.03

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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.