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Finding the Fourth Proportional to 415,265.28, 572,393.04 and 324,462.88

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Solution

The fourth proportional to 415,265.28, 572,393.04 and 324,462.88 is: 447,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,265.28 : 572,393.04 = 324,462.88 : x
  2. Step 2: Convert to fraction form
    415,265.28/572,393.04 = 324,462.88/x
  3. Step 3: Cross multiply
    415,265.28x = 572,393.04 × 324,462.88
  4. Step 4: Simplify right side
    415,265.28x = 185,720,294,250.36
  5. Step 5: Solve for x
    x = 185,720,294,250.36/415,265.28
  6. Step 6: Final answer
    x = 447,232.90

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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.