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Finding the Fourth Proportional to 298,227.17, 411,417.87 and 177,299.84

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Solution

The fourth proportional to 298,227.17, 411,417.87 and 177,299.84 is: 244,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,227.17 : 411,417.87 = 177,299.84 : x
  2. Step 2: Convert to fraction form
    298,227.17/411,417.87 = 177,299.84/x
  3. Step 3: Cross multiply
    298,227.17x = 411,417.87 × 177,299.84
  4. Step 4: Simplify right side
    298,227.17x = 72,944,320,467.05
  5. Step 5: Solve for x
    x = 72,944,320,467.05/298,227.17
  6. Step 6: Final answer
    x = 244,593.15

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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.