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Finding the Fourth Proportional to 488,194.60, 732,729.30 and 421,709.80

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Solution

The fourth proportional to 488,194.60, 732,729.30 and 421,709.80 is: 632,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,194.60 : 732,729.30 = 421,709.80 : x
  2. Step 2: Convert to fraction form
    488,194.60/732,729.30 = 421,709.80/x
  3. Step 3: Cross multiply
    488,194.60x = 732,729.30 × 421,709.80
  4. Step 4: Simplify right side
    488,194.60x = 308,999,126,557.14
  5. Step 5: Solve for x
    x = 308,999,126,557.14/488,194.60
  6. Step 6: Final answer
    x = 632,942.53

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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.