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Finding the Fourth Proportional to 416,134.24, 624,053.60 and 149,823.24

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Solution

The fourth proportional to 416,134.24, 624,053.60 and 149,823.24 is: 224,681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,134.24 : 624,053.60 = 149,823.24 : x
  2. Step 2: Convert to fraction form
    416,134.24/624,053.60 = 149,823.24/x
  3. Step 3: Cross multiply
    416,134.24x = 624,053.60 × 149,823.24
  4. Step 4: Simplify right side
    416,134.24x = 93,497,732,285.66
  5. Step 5: Solve for x
    x = 93,497,732,285.66/416,134.24
  6. Step 6: Final answer
    x = 224,681.66

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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.