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Finding the Fourth Proportional to 230,734.80, 322,241.40 and 230,734.80

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Solution

The fourth proportional to 230,734.80, 322,241.40 and 230,734.80 is: 322,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,734.80 : 322,241.40 = 230,734.80 : x
  2. Step 2: Convert to fraction form
    230,734.80/322,241.40 = 230,734.80/x
  3. Step 3: Cross multiply
    230,734.80x = 322,241.40 × 230,734.80
  4. Step 4: Simplify right side
    230,734.80x = 74,352,304,980.72
  5. Step 5: Solve for x
    x = 74,352,304,980.72/230,734.80
  6. Step 6: Final answer
    x = 322,241.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.