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Finding the Fourth Proportional to 429,664.92, 644,793.18 and 149,182.20

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Solution

The fourth proportional to 429,664.92, 644,793.18 and 149,182.20 is: 223,876.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,664.92 : 644,793.18 = 149,182.20 : x
  2. Step 2: Convert to fraction form
    429,664.92/644,793.18 = 149,182.20/x
  3. Step 3: Cross multiply
    429,664.92x = 644,793.18 × 149,182.20
  4. Step 4: Simplify right side
    429,664.92x = 96,191,665,137.40
  5. Step 5: Solve for x
    x = 96,191,665,137.40/429,664.92
  6. Step 6: Final answer
    x = 223,876.00

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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.