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Finding the Fourth Proportional to 416,405.72, 624,606.96 and 100,862.12

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Solution

The fourth proportional to 416,405.72, 624,606.96 and 100,862.12 is: 151,292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,405.72 : 624,606.96 = 100,862.12 : x
  2. Step 2: Convert to fraction form
    416,405.72/624,606.96 = 100,862.12/x
  3. Step 3: Cross multiply
    416,405.72x = 624,606.96 × 100,862.12
  4. Step 4: Simplify right side
    416,405.72x = 62,999,182,152.36
  5. Step 5: Solve for x
    x = 62,999,182,152.36/416,405.72
  6. Step 6: Final answer
    x = 151,292.79

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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.