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Finding the Fourth Proportional to 447,407.28, 617,403.87 and 256,287.78

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Solution

The fourth proportional to 447,407.28, 617,403.87 and 256,287.78 is: 353,666.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,407.28 : 617,403.87 = 256,287.78 : x
  2. Step 2: Convert to fraction form
    447,407.28/617,403.87 = 256,287.78/x
  3. Step 3: Cross multiply
    447,407.28x = 617,403.87 × 256,287.78
  4. Step 4: Simplify right side
    447,407.28x = 158,233,067,205.71
  5. Step 5: Solve for x
    x = 158,233,067,205.71/447,407.28
  6. Step 6: Final answer
    x = 353,666.72

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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.