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Finding the Fourth Proportional to 429,956.81, 644,949.78 and 114,414.02

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Solution

The fourth proportional to 429,956.81, 644,949.78 and 114,414.02 is: 171,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,956.81 : 644,949.78 = 114,414.02 : x
  2. Step 2: Convert to fraction form
    429,956.81/644,949.78 = 114,414.02/x
  3. Step 3: Cross multiply
    429,956.81x = 644,949.78 × 114,414.02
  4. Step 4: Simplify right side
    429,956.81x = 73,791,295,792.68
  5. Step 5: Solve for x
    x = 73,791,295,792.68/429,956.81
  6. Step 6: Final answer
    x = 171,624.90

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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.