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Finding the Fourth Proportional to 416,456.32, 624,711.84 and 167,105.92

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Solution

The fourth proportional to 416,456.32, 624,711.84 and 167,105.92 is: 250,669.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,456.32 : 624,711.84 = 167,105.92 : x
  2. Step 2: Convert to fraction form
    416,456.32/624,711.84 = 167,105.92/x
  3. Step 3: Cross multiply
    416,456.32x = 624,711.84 × 167,105.92
  4. Step 4: Simplify right side
    416,456.32x = 104,393,046,758.09
  5. Step 5: Solve for x
    x = 104,393,046,758.09/416,456.32
  6. Step 6: Final answer
    x = 250,669.86

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1.5x scale

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.