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Finding the Fourth Proportional to 408,940.80, 564,324.48 and 230,058.24

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Solution

The fourth proportional to 408,940.80, 564,324.48 and 230,058.24 is: 317,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,940.80 : 564,324.48 = 230,058.24 : x
  2. Step 2: Convert to fraction form
    408,940.80/564,324.48 = 230,058.24/x
  3. Step 3: Cross multiply
    408,940.80x = 564,324.48 × 230,058.24
  4. Step 4: Simplify right side
    408,940.80x = 129,827,496,657.72
  5. Step 5: Solve for x
    x = 129,827,496,657.72/408,940.80
  6. Step 6: Final answer
    x = 317,472.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.