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Finding the Fourth Proportional to 418,412.84, 577,687.78 and 321,443.98

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Solution

The fourth proportional to 418,412.84, 577,687.78 and 321,443.98 is: 443,806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,412.84 : 577,687.78 = 321,443.98 : x
  2. Step 2: Convert to fraction form
    418,412.84/577,687.78 = 321,443.98/x
  3. Step 3: Cross multiply
    418,412.84x = 577,687.78 × 321,443.98
  4. Step 4: Simplify right side
    418,412.84x = 185,694,259,200.56
  5. Step 5: Solve for x
    x = 185,694,259,200.56/418,412.84
  6. Step 6: Final answer
    x = 443,806.31

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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.