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Finding the Fourth Proportional to 429,456.66, 643,984.92 and 159,396.72

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Solution

The fourth proportional to 429,456.66, 643,984.92 and 159,396.72 is: 239,020.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,456.66 : 643,984.92 = 159,396.72 : x
  2. Step 2: Convert to fraction form
    429,456.66/643,984.92 = 159,396.72/x
  3. Step 3: Cross multiply
    429,456.66x = 643,984.92 × 159,396.72
  4. Step 4: Simplify right side
    429,456.66x = 102,649,083,977.46
  5. Step 5: Solve for x
    x = 102,649,083,977.46/429,456.66
  6. Step 6: Final answer
    x = 239,020.82

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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.