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Finding the Fourth Proportional to 463,101.86, 694,639.83 and 147,577.70

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Solution

The fourth proportional to 463,101.86, 694,639.83 and 147,577.70 is: 221,362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,101.86 : 694,639.83 = 147,577.70 : x
  2. Step 2: Convert to fraction form
    463,101.86/694,639.83 = 147,577.70/x
  3. Step 3: Cross multiply
    463,101.86x = 694,639.83 × 147,577.70
  4. Step 4: Simplify right side
    463,101.86x = 102,513,348,439.79
  5. Step 5: Solve for x
    x = 102,513,348,439.79/463,101.86
  6. Step 6: Final answer
    x = 221,362.42

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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.