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Finding the Fourth Proportional to 416,612, 624,947.16 and 167,294

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Solution

The fourth proportional to 416,612, 624,947.16 and 167,294 is: 250,952.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,612 : 624,947.16 = 167,294 : x
  2. Step 2: Convert to fraction form
    416,612/624,947.16 = 167,294/x
  3. Step 3: Cross multiply
    416,612x = 624,947.16 × 167,294
  4. Step 4: Simplify right side
    416,612x = 104,549,910,185.04
  5. Step 5: Solve for x
    x = 104,549,910,185.04/416,612
  6. Step 6: Final answer
    x = 250,952.71

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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.