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Finding the Fourth Proportional to 416,077.32, 624,141.90 and 166,726.92

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Solution

The fourth proportional to 416,077.32, 624,141.90 and 166,726.92 is: 250,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,077.32 : 624,141.90 = 166,726.92 : x
  2. Step 2: Convert to fraction form
    416,077.32/624,141.90 = 166,726.92/x
  3. Step 3: Cross multiply
    416,077.32x = 624,141.90 × 166,726.92
  4. Step 4: Simplify right side
    416,077.32x = 104,061,256,629.95
  5. Step 5: Solve for x
    x = 104,061,256,629.95/416,077.32
  6. Step 6: Final answer
    x = 250,100.77

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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.