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Finding the Fourth Proportional to 409,701.60, 614,581.20 and 232,293.60

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Solution

The fourth proportional to 409,701.60, 614,581.20 and 232,293.60 is: 348,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,701.60 : 614,581.20 = 232,293.60 : x
  2. Step 2: Convert to fraction form
    409,701.60/614,581.20 = 232,293.60/x
  3. Step 3: Cross multiply
    409,701.60x = 614,581.20 × 232,293.60
  4. Step 4: Simplify right side
    409,701.60x = 142,763,279,440.32
  5. Step 5: Solve for x
    x = 142,763,279,440.32/409,701.60
  6. Step 6: Final answer
    x = 348,456.73

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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.