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Finding the Fourth Proportional to 652,248.20, 978,372.30 and 428,299.40

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Solution

The fourth proportional to 652,248.20, 978,372.30 and 428,299.40 is: 642,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,248.20 : 978,372.30 = 428,299.40 : x
  2. Step 2: Convert to fraction form
    652,248.20/978,372.30 = 428,299.40/x
  3. Step 3: Cross multiply
    652,248.20x = 978,372.30 × 428,299.40
  4. Step 4: Simplify right side
    652,248.20x = 419,036,269,066.62
  5. Step 5: Solve for x
    x = 419,036,269,066.62/652,248.20
  6. Step 6: Final answer
    x = 642,449.10

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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.