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Finding the Fourth Proportional to 409,531.20, 614,296.80 and 232,384.20

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Solution

The fourth proportional to 409,531.20, 614,296.80 and 232,384.20 is: 348,576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,531.20 : 614,296.80 = 232,384.20 : x
  2. Step 2: Convert to fraction form
    409,531.20/614,296.80 = 232,384.20/x
  3. Step 3: Cross multiply
    409,531.20x = 614,296.80 × 232,384.20
  4. Step 4: Simplify right side
    409,531.20x = 142,752,870,430.56
  5. Step 5: Solve for x
    x = 142,752,870,430.56/409,531.20
  6. Step 6: Final answer
    x = 348,576.30

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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.