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Finding the Fourth Proportional to 418,924.90, 578,107.02 and 227,938.78

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Solution

The fourth proportional to 418,924.90, 578,107.02 and 227,938.78 is: 314,550.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,924.90 : 578,107.02 = 227,938.78 : x
  2. Step 2: Convert to fraction form
    418,924.90/578,107.02 = 227,938.78/x
  3. Step 3: Cross multiply
    418,924.90x = 578,107.02 × 227,938.78
  4. Step 4: Simplify right side
    418,924.90x = 131,773,008,848.24
  5. Step 5: Solve for x
    x = 131,773,008,848.24/418,924.90
  6. Step 6: Final answer
    x = 314,550.43

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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.