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Finding the Fourth Proportional to 488,103.92, 731,984.30 and 146,445.48

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Solution

The fourth proportional to 488,103.92, 731,984.30 and 146,445.48 is: 219,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,103.92 : 731,984.30 = 146,445.48 : x
  2. Step 2: Convert to fraction form
    488,103.92/731,984.30 = 146,445.48/x
  3. Step 3: Cross multiply
    488,103.92x = 731,984.30 × 146,445.48
  4. Step 4: Simplify right side
    488,103.92x = 107,195,792,165.96
  5. Step 5: Solve for x
    x = 107,195,792,165.96/488,103.92
  6. Step 6: Final answer
    x = 219,616.74

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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.