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Finding the Fourth Proportional to 416,538.60, 624,678.64 and 150,264.36

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Solution

The fourth proportional to 416,538.60, 624,678.64 and 150,264.36 is: 225,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,538.60 : 624,678.64 = 150,264.36 : x
  2. Step 2: Convert to fraction form
    416,538.60/624,678.64 = 150,264.36/x
  3. Step 3: Cross multiply
    416,538.60x = 624,678.64 × 150,264.36
  4. Step 4: Simplify right side
    416,538.60x = 93,866,936,045.27
  5. Step 5: Solve for x
    x = 93,866,936,045.27/416,538.60
  6. Step 6: Final answer
    x = 225,349.91

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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.