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Finding the Fourth Proportional to 454,470.75, 681,706.13 and 122,046.75

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Solution

The fourth proportional to 454,470.75, 681,706.13 and 122,046.75 is: 183,070.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,470.75 : 681,706.13 = 122,046.75 : x
  2. Step 2: Convert to fraction form
    454,470.75/681,706.13 = 122,046.75/x
  3. Step 3: Cross multiply
    454,470.75x = 681,706.13 × 122,046.75
  4. Step 4: Simplify right side
    454,470.75x = 83,200,017,011.34
  5. Step 5: Solve for x
    x = 83,200,017,011.34/454,470.75
  6. Step 6: Final answer
    x = 183,070.13

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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.