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Finding the Fourth Proportional to 650,727.34, 976,062.26 and 177,412.75

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Solution

The fourth proportional to 650,727.34, 976,062.26 and 177,412.75 is: 266,111.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,727.34 : 976,062.26 = 177,412.75 : x
  2. Step 2: Convert to fraction form
    650,727.34/976,062.26 = 177,412.75/x
  3. Step 3: Cross multiply
    650,727.34x = 976,062.26 × 177,412.75
  4. Step 4: Simplify right side
    650,727.34x = 173,165,891,270.91
  5. Step 5: Solve for x
    x = 173,165,891,270.91/650,727.34
  6. Step 6: Final answer
    x = 266,111.29

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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.