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Finding the Fourth Proportional to 463,255.16, 694,875.44 and 147,709.96

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Solution

The fourth proportional to 463,255.16, 694,875.44 and 147,709.96 is: 221,562.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,255.16 : 694,875.44 = 147,709.96 : x
  2. Step 2: Convert to fraction form
    463,255.16/694,875.44 = 147,709.96/x
  3. Step 3: Cross multiply
    463,255.16x = 694,875.44 × 147,709.96
  4. Step 4: Simplify right side
    463,255.16x = 102,640,023,447.38
  5. Step 5: Solve for x
    x = 102,640,023,447.38/463,255.16
  6. Step 6: Final answer
    x = 221,562.61

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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.