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Finding the Fourth Proportional to 417,624.56, 576,326.12 and 226,639.60

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Solution

The fourth proportional to 417,624.56, 576,326.12 and 226,639.60 is: 312,764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,624.56 : 576,326.12 = 226,639.60 : x
  2. Step 2: Convert to fraction form
    417,624.56/576,326.12 = 226,639.60/x
  3. Step 3: Cross multiply
    417,624.56x = 576,326.12 × 226,639.60
  4. Step 4: Simplify right side
    417,624.56x = 130,618,321,306.35
  5. Step 5: Solve for x
    x = 130,618,321,306.35/417,624.56
  6. Step 6: Final answer
    x = 312,764.94

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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.