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Finding the Fourth Proportional to 413,344.55, 570,371.41 and 232,076.42

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Solution

The fourth proportional to 413,344.55, 570,371.41 and 232,076.42 is: 320,240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,344.55 : 570,371.41 = 232,076.42 : x
  2. Step 2: Convert to fraction form
    413,344.55/570,371.41 = 232,076.42/x
  3. Step 3: Cross multiply
    413,344.55x = 570,371.41 × 232,076.42
  4. Step 4: Simplify right side
    413,344.55x = 132,369,751,471.10
  5. Step 5: Solve for x
    x = 132,369,751,471.10/413,344.55
  6. Step 6: Final answer
    x = 320,240.71

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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.