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Finding the Fourth Proportional to 418,813.23, 577,961.82 and 227,826.18

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Solution

The fourth proportional to 418,813.23, 577,961.82 and 227,826.18 is: 314,399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,813.23 : 577,961.82 = 227,826.18 : x
  2. Step 2: Convert to fraction form
    418,813.23/577,961.82 = 227,826.18/x
  3. Step 3: Cross multiply
    418,813.23x = 577,961.82 × 227,826.18
  4. Step 4: Simplify right side
    418,813.23x = 131,674,833,636.45
  5. Step 5: Solve for x
    x = 131,674,833,636.45/418,813.23
  6. Step 6: Final answer
    x = 314,399.89

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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.