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Finding the Fourth Proportional to 296,010.74, 408,488.73 and 161,874.74

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Solution

The fourth proportional to 296,010.74, 408,488.73 and 161,874.74 is: 223,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,010.74 : 408,488.73 = 161,874.74 : x
  2. Step 2: Convert to fraction form
    296,010.74/408,488.73 = 161,874.74/x
  3. Step 3: Cross multiply
    296,010.74x = 408,488.73 × 161,874.74
  4. Step 4: Simplify right side
    296,010.74x = 66,124,006,961.68
  5. Step 5: Solve for x
    x = 66,124,006,961.68/296,010.74
  6. Step 6: Final answer
    x = 223,383.81

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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.