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Finding the Fourth Proportional to 418,510.26, 577,550.73 and 227,524.38

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Solution

The fourth proportional to 418,510.26, 577,550.73 and 227,524.38 is: 313,987.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,510.26 : 577,550.73 = 227,524.38 : x
  2. Step 2: Convert to fraction form
    418,510.26/577,550.73 = 227,524.38/x
  3. Step 3: Cross multiply
    418,510.26x = 577,550.73 × 227,524.38
  4. Step 4: Simplify right side
    418,510.26x = 131,406,871,761.80
  5. Step 5: Solve for x
    x = 131,406,871,761.80/418,510.26
  6. Step 6: Final answer
    x = 313,987.22

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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.