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Finding the Fourth Proportional to 471,153.48, 650,209.14 and 269,988.36

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Solution

The fourth proportional to 471,153.48, 650,209.14 and 269,988.36 is: 372,593.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,153.48 : 650,209.14 = 269,988.36 : x
  2. Step 2: Convert to fraction form
    471,153.48/650,209.14 = 269,988.36/x
  3. Step 3: Cross multiply
    471,153.48x = 650,209.14 × 269,988.36
  4. Step 4: Simplify right side
    471,153.48x = 175,548,899,365.61
  5. Step 5: Solve for x
    x = 175,548,899,365.61/471,153.48
  6. Step 6: Final answer
    x = 372,593.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.