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Finding the Fourth Proportional to 418,766.04, 577,891.26 and 227,775.06

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Solution

The fourth proportional to 418,766.04, 577,891.26 and 227,775.06 is: 314,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,766.04 : 577,891.26 = 227,775.06 : x
  2. Step 2: Convert to fraction form
    418,766.04/577,891.26 = 227,775.06/x
  3. Step 3: Cross multiply
    418,766.04x = 577,891.26 × 227,775.06
  4. Step 4: Simplify right side
    418,766.04x = 131,629,216,419.98
  5. Step 5: Solve for x
    x = 131,629,216,419.98/418,766.04
  6. Step 6: Final answer
    x = 314,326.39

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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.