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Finding the Fourth Proportional to 652,129.20, 978,193.80 and 428,180.40

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Solution

The fourth proportional to 652,129.20, 978,193.80 and 428,180.40 is: 642,270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,129.20 : 978,193.80 = 428,180.40 : x
  2. Step 2: Convert to fraction form
    652,129.20/978,193.80 = 428,180.40/x
  3. Step 3: Cross multiply
    652,129.20x = 978,193.80 × 428,180.40
  4. Step 4: Simplify right side
    652,129.20x = 418,843,412,561.52
  5. Step 5: Solve for x
    x = 418,843,412,561.52/652,129.20
  6. Step 6: Final answer
    x = 642,270.60

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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.