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Finding the Fourth Proportional to 488,137.60, 732,643.80 and 421,652.80

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Solution

The fourth proportional to 488,137.60, 732,643.80 and 421,652.80 is: 632,857.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,137.60 : 732,643.80 = 421,652.80 : x
  2. Step 2: Convert to fraction form
    488,137.60/732,643.80 = 421,652.80/x
  3. Step 3: Cross multiply
    488,137.60x = 732,643.80 × 421,652.80
  4. Step 4: Simplify right side
    488,137.60x = 308,921,309,672.64
  5. Step 5: Solve for x
    x = 308,921,309,672.64/488,137.60
  6. Step 6: Final answer
    x = 632,857.03

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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.