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Finding the Fourth Proportional to 418,579.80, 577,633.26 and 227,598

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Solution

The fourth proportional to 418,579.80, 577,633.26 and 227,598 is: 314,081.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,579.80 : 577,633.26 = 227,598 : x
  2. Step 2: Convert to fraction form
    418,579.80/577,633.26 = 227,598/x
  3. Step 3: Cross multiply
    418,579.80x = 577,633.26 × 227,598
  4. Step 4: Simplify right side
    418,579.80x = 131,468,174,709.48
  5. Step 5: Solve for x
    x = 131,468,174,709.48/418,579.80
  6. Step 6: Final answer
    x = 314,081.51

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