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Finding the Fourth Proportional to 506,254.11, 760,760.69 and 269,765.79

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Solution

The fourth proportional to 506,254.11, 760,760.69 and 269,765.79 is: 405,383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,254.11 : 760,760.69 = 269,765.79 : x
  2. Step 2: Convert to fraction form
    506,254.11/760,760.69 = 269,765.79/x
  3. Step 3: Cross multiply
    506,254.11x = 760,760.69 × 269,765.79
  4. Step 4: Simplify right side
    506,254.11x = 205,227,207,189.97
  5. Step 5: Solve for x
    x = 205,227,207,189.97/506,254.11
  6. Step 6: Final answer
    x = 405,383.78

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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.