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Finding the Fourth Proportional to 416,226.25, 574,392.23 and 225,239.64

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Solution

The fourth proportional to 416,226.25, 574,392.23 and 225,239.64 is: 310,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,226.25 : 574,392.23 = 225,239.64 : x
  2. Step 2: Convert to fraction form
    416,226.25/574,392.23 = 225,239.64/x
  3. Step 3: Cross multiply
    416,226.25x = 574,392.23 × 225,239.64
  4. Step 4: Simplify right side
    416,226.25x = 129,375,900,065.74
  5. Step 5: Solve for x
    x = 129,375,900,065.74/416,226.25
  6. Step 6: Final answer
    x = 310,830.71

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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.