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Finding the Fourth Proportional to 461,168.16, 636,708.17 and 289,321.75

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Solution

The fourth proportional to 461,168.16, 636,708.17 and 289,321.75 is: 399,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,168.16 : 636,708.17 = 289,321.75 : x
  2. Step 2: Convert to fraction form
    461,168.16/636,708.17 = 289,321.75/x
  3. Step 3: Cross multiply
    461,168.16x = 636,708.17 × 289,321.75
  4. Step 4: Simplify right side
    461,168.16x = 184,213,521,983.70
  5. Step 5: Solve for x
    x = 184,213,521,983.70/461,168.16
  6. Step 6: Final answer
    x = 399,449.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.