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Finding the Fourth Proportional to 652,230.40, 978,345.60 and 278,982.40

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Solution

The fourth proportional to 652,230.40, 978,345.60 and 278,982.40 is: 418,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,230.40 : 978,345.60 = 278,982.40 : x
  2. Step 2: Convert to fraction form
    652,230.40/978,345.60 = 278,982.40/x
  3. Step 3: Cross multiply
    652,230.40x = 978,345.60 × 278,982.40
  4. Step 4: Simplify right side
    652,230.40x = 272,941,203,517.44
  5. Step 5: Solve for x
    x = 272,941,203,517.44/652,230.40
  6. Step 6: Final answer
    x = 418,473.60

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Why These Related Problems?

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