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Finding the Fourth Proportional to 417,884.56, 576,684.84 and 226,899.52

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Solution

The fourth proportional to 417,884.56, 576,684.84 and 226,899.52 is: 313,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,884.56 : 576,684.84 = 226,899.52 : x
  2. Step 2: Convert to fraction form
    417,884.56/576,684.84 = 226,899.52/x
  3. Step 3: Cross multiply
    417,884.56x = 576,684.84 × 226,899.52
  4. Step 4: Simplify right side
    417,884.56x = 130,849,513,387.28
  5. Step 5: Solve for x
    x = 130,849,513,387.28/417,884.56
  6. Step 6: Final answer
    x = 313,123.59

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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.