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Finding the Fourth Proportional to 304,282.56, 419,877.63 and 168,294.90

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Solution

The fourth proportional to 304,282.56, 419,877.63 and 168,294.90 is: 232,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,282.56 : 419,877.63 = 168,294.90 : x
  2. Step 2: Convert to fraction form
    304,282.56/419,877.63 = 168,294.90/x
  3. Step 3: Cross multiply
    304,282.56x = 419,877.63 × 168,294.90
  4. Step 4: Simplify right side
    304,282.56x = 70,663,263,753.09
  5. Step 5: Solve for x
    x = 70,663,263,753.09/304,282.56
  6. Step 6: Final answer
    x = 232,229.10

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Why These Related Problems?

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