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Finding the Fourth Proportional to 416,488.95, 624,733.41 and 100,945.86

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Solution

The fourth proportional to 416,488.95, 624,733.41 and 100,945.86 is: 151,418.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,488.95 : 624,733.41 = 100,945.86 : x
  2. Step 2: Convert to fraction form
    416,488.95/624,733.41 = 100,945.86/x
  3. Step 3: Cross multiply
    416,488.95x = 624,733.41 × 100,945.86
  4. Step 4: Simplify right side
    416,488.95x = 63,064,251,343.18
  5. Step 5: Solve for x
    x = 63,064,251,343.18/416,488.95
  6. Step 6: Final answer
    x = 151,418.79

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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.