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Finding the Fourth Proportional to 304,744.88, 420,515.96 and 168,775.25

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Solution

The fourth proportional to 304,744.88, 420,515.96 and 168,775.25 is: 232,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,744.88 : 420,515.96 = 168,775.25 : x
  2. Step 2: Convert to fraction form
    304,744.88/420,515.96 = 168,775.25/x
  3. Step 3: Cross multiply
    304,744.88x = 420,515.96 × 168,775.25
  4. Step 4: Simplify right side
    304,744.88x = 70,972,683,331.53
  5. Step 5: Solve for x
    x = 70,972,683,331.53/304,744.88
  6. Step 6: Final answer
    x = 232,892.13

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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.