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Finding the Fourth Proportional to 288,614.25, 398,280.24 and 161,290.89

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Solution

The fourth proportional to 288,614.25, 398,280.24 and 161,290.89 is: 222,577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,614.25 : 398,280.24 = 161,290.89 : x
  2. Step 2: Convert to fraction form
    288,614.25/398,280.24 = 161,290.89/x
  3. Step 3: Cross multiply
    288,614.25x = 398,280.24 × 161,290.89
  4. Step 4: Simplify right side
    288,614.25x = 64,238,974,379.01
  5. Step 5: Solve for x
    x = 64,238,974,379.01/288,614.25
  6. Step 6: Final answer
    x = 222,577.28

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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.