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Finding the Fourth Proportional to 411,105.60, 616,705.76 and 158,327.20

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Solution

The fourth proportional to 411,105.60, 616,705.76 and 158,327.20 is: 237,509.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,105.60 : 616,705.76 = 158,327.20 : x
  2. Step 2: Convert to fraction form
    411,105.60/616,705.76 = 158,327.20/x
  3. Step 3: Cross multiply
    411,105.60x = 616,705.76 × 158,327.20
  4. Step 4: Simplify right side
    411,105.60x = 97,641,296,204.67
  5. Step 5: Solve for x
    x = 97,641,296,204.67/411,105.60
  6. Step 6: Final answer
    x = 237,509.04

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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.