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Finding the Fourth Proportional to 650,864.72, 976,267.92 and 177,548.56

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Solution

The fourth proportional to 650,864.72, 976,267.92 and 177,548.56 is: 266,314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,864.72 : 976,267.92 = 177,548.56 : x
  2. Step 2: Convert to fraction form
    650,864.72/976,267.92 = 177,548.56/x
  3. Step 3: Cross multiply
    650,864.72x = 976,267.92 × 177,548.56
  4. Step 4: Simplify right side
    650,864.72x = 173,334,963,370.20
  5. Step 5: Solve for x
    x = 173,334,963,370.20/650,864.72
  6. Step 6: Final answer
    x = 266,314.89

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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.