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Finding the Fourth Proportional to 416,118.46, 624,177.72 and 100,575.28

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Solution

The fourth proportional to 416,118.46, 624,177.72 and 100,575.28 is: 150,862.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,118.46 : 624,177.72 = 100,575.28 : x
  2. Step 2: Convert to fraction form
    416,118.46/624,177.72 = 100,575.28/x
  3. Step 3: Cross multiply
    416,118.46x = 624,177.72 × 100,575.28
  4. Step 4: Simplify right side
    416,118.46x = 62,776,848,958.76
  5. Step 5: Solve for x
    x = 62,776,848,958.76/416,118.46
  6. Step 6: Final answer
    x = 150,862.93

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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.