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Finding the Fourth Proportional to 416,261.32, 574,441.62 and 225,276.76

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Solution

The fourth proportional to 416,261.32, 574,441.62 and 225,276.76 is: 310,882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,261.32 : 574,441.62 = 225,276.76 : x
  2. Step 2: Convert to fraction form
    416,261.32/574,441.62 = 225,276.76/x
  3. Step 3: Cross multiply
    416,261.32x = 574,441.62 × 225,276.76
  4. Step 4: Simplify right side
    416,261.32x = 129,408,346,962.75
  5. Step 5: Solve for x
    x = 129,408,346,962.75/416,261.32
  6. Step 6: Final answer
    x = 310,882.47

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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.