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Finding the Fourth Proportional to 463,065.40, 694,209.30 and 241,449.40

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Solution

The fourth proportional to 463,065.40, 694,209.30 and 241,449.40 is: 361,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,065.40 : 694,209.30 = 241,449.40 : x
  2. Step 2: Convert to fraction form
    463,065.40/694,209.30 = 241,449.40/x
  3. Step 3: Cross multiply
    463,065.40x = 694,209.30 × 241,449.40
  4. Step 4: Simplify right side
    463,065.40x = 167,616,418,959.42
  5. Step 5: Solve for x
    x = 167,616,418,959.42/463,065.40
  6. Step 6: Final answer
    x = 361,971.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.