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Finding the Fourth Proportional to 429,493.74, 643,754.52 and 218,686.38

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Solution

The fourth proportional to 429,493.74, 643,754.52 and 218,686.38 is: 327,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,493.74 : 643,754.52 = 218,686.38 : x
  2. Step 2: Convert to fraction form
    429,493.74/643,754.52 = 218,686.38/x
  3. Step 3: Cross multiply
    429,493.74x = 643,754.52 × 218,686.38
  4. Step 4: Simplify right side
    429,493.74x = 140,780,345,587.44
  5. Step 5: Solve for x
    x = 140,780,345,587.44/429,493.74
  6. Step 6: Final answer
    x = 327,782.07

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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.