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Finding the Fourth Proportional to 409,767.69, 614,301.06 and 157,229.40

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Solution

The fourth proportional to 409,767.69, 614,301.06 and 157,229.40 is: 235,709.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,767.69 : 614,301.06 = 157,229.40 : x
  2. Step 2: Convert to fraction form
    409,767.69/614,301.06 = 157,229.40/x
  3. Step 3: Cross multiply
    409,767.69x = 614,301.06 × 157,229.40
  4. Step 4: Simplify right side
    409,767.69x = 96,586,189,976.40
  5. Step 5: Solve for x
    x = 96,586,189,976.40/409,767.69
  6. Step 6: Final answer
    x = 235,709.63

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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.