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Finding the Fourth Proportional to 290,167.64, 400,470.44 and 162,850.24

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Solution

The fourth proportional to 290,167.64, 400,470.44 and 162,850.24 is: 224,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,167.64 : 400,470.44 = 162,850.24 : x
  2. Step 2: Convert to fraction form
    290,167.64/400,470.44 = 162,850.24/x
  3. Step 3: Cross multiply
    290,167.64x = 400,470.44 × 162,850.24
  4. Step 4: Simplify right side
    290,167.64x = 65,216,707,266.91
  5. Step 5: Solve for x
    x = 65,216,707,266.91/290,167.64
  6. Step 6: Final answer
    x = 224,755.27

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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.