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Finding the Fourth Proportional to 488,946.60, 733,419.90 and 471,231.90

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Solution

The fourth proportional to 488,946.60, 733,419.90 and 471,231.90 is: 706,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,946.60 : 733,419.90 = 471,231.90 : x
  2. Step 2: Convert to fraction form
    488,946.60/733,419.90 = 471,231.90/x
  3. Step 3: Cross multiply
    488,946.60x = 733,419.90 × 471,231.90
  4. Step 4: Simplify right side
    488,946.60x = 345,610,852,974.81
  5. Step 5: Solve for x
    x = 345,610,852,974.81/488,946.60
  6. Step 6: Final answer
    x = 706,847.85

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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.