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Finding the Fourth Proportional to 457,830.49, 686,524.13 and 158,205.96

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Solution

The fourth proportional to 457,830.49, 686,524.13 and 158,205.96 is: 237,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,830.49 : 686,524.13 = 158,205.96 : x
  2. Step 2: Convert to fraction form
    457,830.49/686,524.13 = 158,205.96/x
  3. Step 3: Cross multiply
    457,830.49x = 686,524.13 × 158,205.96
  4. Step 4: Simplify right side
    457,830.49x = 108,612,209,049.82
  5. Step 5: Solve for x
    x = 108,612,209,049.82/457,830.49
  6. Step 6: Final answer
    x = 237,232.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.