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Finding the Fourth Proportional to 296,057.92, 408,070.56 and 220,578.88

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Solution

The fourth proportional to 296,057.92, 408,070.56 and 220,578.88 is: 304,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,057.92 : 408,070.56 = 220,578.88 : x
  2. Step 2: Convert to fraction form
    296,057.92/408,070.56 = 220,578.88/x
  3. Step 3: Cross multiply
    296,057.92x = 408,070.56 × 220,578.88
  4. Step 4: Simplify right side
    296,057.92x = 90,011,747,085.77
  5. Step 5: Solve for x
    x = 90,011,747,085.77/296,057.92
  6. Step 6: Final answer
    x = 304,034.25

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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.