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Finding the Fourth Proportional to 298,057.98, 411,314.31 and 163,921.98

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Solution

The fourth proportional to 298,057.98, 411,314.31 and 163,921.98 is: 226,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,057.98 : 411,314.31 = 163,921.98 : x
  2. Step 2: Convert to fraction form
    298,057.98/411,314.31 = 163,921.98/x
  3. Step 3: Cross multiply
    298,057.98x = 411,314.31 × 163,921.98
  4. Step 4: Simplify right side
    298,057.98x = 67,423,456,097.53
  5. Step 5: Solve for x
    x = 67,423,456,097.53/298,057.98
  6. Step 6: Final answer
    x = 226,209.20

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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.