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Finding the Fourth Proportional to 296,010.24, 408,488.04 and 161,874.24

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Solution

The fourth proportional to 296,010.24, 408,488.04 and 161,874.24 is: 223,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,010.24 : 408,488.04 = 161,874.24 : x
  2. Step 2: Convert to fraction form
    296,010.24/408,488.04 = 161,874.24/x
  3. Step 3: Cross multiply
    296,010.24x = 408,488.04 × 161,874.24
  4. Step 4: Simplify right side
    296,010.24x = 66,123,691,024.09
  5. Step 5: Solve for x
    x = 66,123,691,024.09/296,010.24
  6. Step 6: Final answer
    x = 223,383.12

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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.