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Finding the Fourth Proportional to 652,108.20, 978,162.30 and 428,159.40

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Solution

The fourth proportional to 652,108.20, 978,162.30 and 428,159.40 is: 642,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,108.20 : 978,162.30 = 428,159.40 : x
  2. Step 2: Convert to fraction form
    652,108.20/978,162.30 = 428,159.40/x
  3. Step 3: Cross multiply
    652,108.20x = 978,162.30 × 428,159.40
  4. Step 4: Simplify right side
    652,108.20x = 418,809,383,470.62
  5. Step 5: Solve for x
    x = 418,809,383,470.62/652,108.20
  6. Step 6: Final answer
    x = 642,239.10

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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.