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Finding the Fourth Proportional to 416,480.94, 624,721.40 and 100,937.86

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Solution

The fourth proportional to 416,480.94, 624,721.40 and 100,937.86 is: 151,406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,480.94 : 624,721.40 = 100,937.86 : x
  2. Step 2: Convert to fraction form
    416,480.94/624,721.40 = 100,937.86/x
  3. Step 3: Cross multiply
    416,480.94x = 624,721.40 × 100,937.86
  4. Step 4: Simplify right side
    416,480.94x = 63,058,041,212.20
  5. Step 5: Solve for x
    x = 63,058,041,212.20/416,480.94
  6. Step 6: Final answer
    x = 151,406.79

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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.