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Finding the Fourth Proportional to 416,538.18, 624,678.12 and 150,264.09

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Solution

The fourth proportional to 416,538.18, 624,678.12 and 150,264.09 is: 225,349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,538.18 : 624,678.12 = 150,264.09 : x
  2. Step 2: Convert to fraction form
    416,538.18/624,678.12 = 150,264.09/x
  3. Step 3: Cross multiply
    416,538.18x = 624,678.12 × 150,264.09
  4. Step 4: Simplify right side
    416,538.18x = 93,866,689,244.71
  5. Step 5: Solve for x
    x = 93,866,689,244.71/416,538.18
  6. Step 6: Final answer
    x = 225,349.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.