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Finding the Fourth Proportional to 463,106.16, 694,651.68 and 147,558.78

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Solution

The fourth proportional to 463,106.16, 694,651.68 and 147,558.78 is: 221,335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,106.16 : 694,651.68 = 147,558.78 : x
  2. Step 2: Convert to fraction form
    463,106.16/694,651.68 = 147,558.78/x
  3. Step 3: Cross multiply
    463,106.16x = 694,651.68 × 147,558.78
  4. Step 4: Simplify right side
    463,106.16x = 102,501,954,425.75
  5. Step 5: Solve for x
    x = 102,501,954,425.75/463,106.16
  6. Step 6: Final answer
    x = 221,335.76

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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.