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Finding the Fourth Proportional to 413,179.56, 570,140.82 and 231,854.04

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Solution

The fourth proportional to 413,179.56, 570,140.82 and 231,854.04 is: 319,932.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,179.56 : 570,140.82 = 231,854.04 : x
  2. Step 2: Convert to fraction form
    413,179.56/570,140.82 = 231,854.04/x
  3. Step 3: Cross multiply
    413,179.56x = 570,140.82 × 231,854.04
  4. Step 4: Simplify right side
    413,179.56x = 132,189,452,485.91
  5. Step 5: Solve for x
    x = 132,189,452,485.91/413,179.56
  6. Step 6: Final answer
    x = 319,932.22

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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.