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Finding the Fourth Proportional to 417,046.26, 575,508.42 and 226,055.55

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Solution

The fourth proportional to 417,046.26, 575,508.42 and 226,055.55 is: 311,948.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,046.26 : 575,508.42 = 226,055.55 : x
  2. Step 2: Convert to fraction form
    417,046.26/575,508.42 = 226,055.55/x
  3. Step 3: Cross multiply
    417,046.26x = 575,508.42 × 226,055.55
  4. Step 4: Simplify right side
    417,046.26x = 130,096,872,412.73
  5. Step 5: Solve for x
    x = 130,096,872,412.73/417,046.26
  6. Step 6: Final answer
    x = 311,948.30

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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.