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Finding the Fourth Proportional to 256,227.99, 384,360.42 and 98,456.40

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Solution

The fourth proportional to 256,227.99, 384,360.42 and 98,456.40 is: 147,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,227.99 : 384,360.42 = 98,456.40 : x
  2. Step 2: Convert to fraction form
    256,227.99/384,360.42 = 98,456.40/x
  3. Step 3: Cross multiply
    256,227.99x = 384,360.42 × 98,456.40
  4. Step 4: Simplify right side
    256,227.99x = 37,842,743,255.69
  5. Step 5: Solve for x
    x = 37,842,743,255.69/256,227.99
  6. Step 6: Final answer
    x = 147,691.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.