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Finding the Fourth Proportional to 511,695.48, 706,123.20 and 282,252.24

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Solution

The fourth proportional to 511,695.48, 706,123.20 and 282,252.24 is: 389,498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,695.48 : 706,123.20 = 282,252.24 : x
  2. Step 2: Convert to fraction form
    511,695.48/706,123.20 = 282,252.24/x
  3. Step 3: Cross multiply
    511,695.48x = 706,123.20 × 282,252.24
  4. Step 4: Simplify right side
    511,695.48x = 199,304,854,915.97
  5. Step 5: Solve for x
    x = 199,304,854,915.97/511,695.48
  6. Step 6: Final answer
    x = 389,498.96

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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.