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Finding the Fourth Proportional to 416,168.64, 574,310.88 and 225,185.40

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Solution

The fourth proportional to 416,168.64, 574,310.88 and 225,185.40 is: 310,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,168.64 : 574,310.88 = 225,185.40 : x
  2. Step 2: Convert to fraction form
    416,168.64/574,310.88 = 225,185.40/x
  3. Step 3: Cross multiply
    416,168.64x = 574,310.88 × 225,185.40
  4. Step 4: Simplify right side
    416,168.64x = 129,326,425,237.15
  5. Step 5: Solve for x
    x = 129,326,425,237.15/416,168.64
  6. Step 6: Final answer
    x = 310,754.85

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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.