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Finding the Fourth Proportional to 416,165.94, 624,095.82 and 149,854.95

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Solution

The fourth proportional to 416,165.94, 624,095.82 and 149,854.95 is: 224,727.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,165.94 : 624,095.82 = 149,854.95 : x
  2. Step 2: Convert to fraction form
    416,165.94/624,095.82 = 149,854.95/x
  3. Step 3: Cross multiply
    416,165.94x = 624,095.82 × 149,854.95
  4. Step 4: Simplify right side
    416,165.94x = 93,523,847,901.31
  5. Step 5: Solve for x
    x = 93,523,847,901.31/416,165.94
  6. Step 6: Final answer
    x = 224,727.30

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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.