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Finding the Fourth Proportional to 273,218.74, 409,828.11 and 273,218.74

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Solution

The fourth proportional to 273,218.74, 409,828.11 and 273,218.74 is: 409,828.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,218.74 : 409,828.11 = 273,218.74 : x
  2. Step 2: Convert to fraction form
    273,218.74/409,828.11 = 273,218.74/x
  3. Step 3: Cross multiply
    273,218.74x = 409,828.11 × 273,218.74
  4. Step 4: Simplify right side
    273,218.74x = 111,972,717,781.64
  5. Step 5: Solve for x
    x = 111,972,717,781.64/273,218.74
  6. Step 6: Final answer
    x = 409,828.11

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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.