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Finding the Fourth Proportional to 471,272.94, 650,359.47 and 256,414.62

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Solution

The fourth proportional to 471,272.94, 650,359.47 and 256,414.62 is: 353,853.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,272.94 : 650,359.47 = 256,414.62 : x
  2. Step 2: Convert to fraction form
    471,272.94/650,359.47 = 256,414.62/x
  3. Step 3: Cross multiply
    471,272.94x = 650,359.47 × 256,414.62
  4. Step 4: Simplify right side
    471,272.94x = 166,761,676,363.45
  5. Step 5: Solve for x
    x = 166,761,676,363.45/471,272.94
  6. Step 6: Final answer
    x = 353,853.71

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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.