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Finding the Fourth Proportional to 418,208.80, 577,133.40 and 227,225.38

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Solution

The fourth proportional to 418,208.80, 577,133.40 and 227,225.38 is: 313,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,208.80 : 577,133.40 = 227,225.38 : x
  2. Step 2: Convert to fraction form
    418,208.80/577,133.40 = 227,225.38/x
  3. Step 3: Cross multiply
    418,208.80x = 577,133.40 × 227,225.38
  4. Step 4: Simplify right side
    418,208.80x = 131,139,356,716.43
  5. Step 5: Solve for x
    x = 131,139,356,716.43/418,208.80
  6. Step 6: Final answer
    x = 313,573.88

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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.