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Finding the Fourth Proportional to 488,404.40, 731,440.20 and 299,447.60

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Solution

The fourth proportional to 488,404.40, 731,440.20 and 299,447.60 is: 448,456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,404.40 : 731,440.20 = 299,447.60 : x
  2. Step 2: Convert to fraction form
    488,404.40/731,440.20 = 299,447.60/x
  3. Step 3: Cross multiply
    488,404.40x = 731,440.20 × 299,447.60
  4. Step 4: Simplify right side
    488,404.40x = 219,028,012,433.52
  5. Step 5: Solve for x
    x = 219,028,012,433.52/488,404.40
  6. Step 6: Final answer
    x = 448,456.26

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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.