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Finding the Fourth Proportional to 290,034.93, 400,242.16 and 160,965.88

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Solution

The fourth proportional to 290,034.93, 400,242.16 and 160,965.88 is: 222,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,034.93 : 400,242.16 = 160,965.88 : x
  2. Step 2: Convert to fraction form
    290,034.93/400,242.16 = 160,965.88/x
  3. Step 3: Cross multiply
    290,034.93x = 400,242.16 × 160,965.88
  4. Step 4: Simplify right side
    290,034.93x = 64,425,332,949.46
  5. Step 5: Solve for x
    x = 64,425,332,949.46/290,034.93
  6. Step 6: Final answer
    x = 222,129.57

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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.