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Finding the Fourth Proportional to 416,166, 574,304.96 and 225,175.20

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Solution

The fourth proportional to 416,166, 574,304.96 and 225,175.20 is: 310,739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,166 : 574,304.96 = 225,175.20 : x
  2. Step 2: Convert to fraction form
    416,166/574,304.96 = 225,175.20/x
  3. Step 3: Cross multiply
    416,166x = 574,304.96 × 225,175.20
  4. Step 4: Simplify right side
    416,166x = 129,319,234,228.99
  5. Step 5: Solve for x
    x = 129,319,234,228.99/416,166
  6. Step 6: Final answer
    x = 310,739.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.