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Finding the Fourth Proportional to 416,221.91, 574,412.25 and 234,964.55

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Solution

The fourth proportional to 416,221.91, 574,412.25 and 234,964.55 is: 324,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,221.91 : 574,412.25 = 234,964.55 : x
  2. Step 2: Convert to fraction form
    416,221.91/574,412.25 = 234,964.55/x
  3. Step 3: Cross multiply
    416,221.91x = 574,412.25 × 234,964.55
  4. Step 4: Simplify right side
    416,221.91x = 134,966,515,835.74
  5. Step 5: Solve for x
    x = 134,966,515,835.74/416,221.91
  6. Step 6: Final answer
    x = 324,265.76

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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.