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Finding the Fourth Proportional to 978,655.80, 1,467,983.70 and 829,356.60

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Solution

The fourth proportional to 978,655.80, 1,467,983.70 and 829,356.60 is: 1,244,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,655.80 : 1,467,983.70 = 829,356.60 : x
  2. Step 2: Convert to fraction form
    978,655.80/1,467,983.70 = 829,356.60/x
  3. Step 3: Cross multiply
    978,655.80x = 1,467,983.70 × 829,356.60
  4. Step 4: Simplify right side
    978,655.80x = 1,217,481,970,287.42
  5. Step 5: Solve for x
    x = 1,217,481,970,287.42/978,655.80
  6. Step 6: Final answer
    x = 1,244,034.90

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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.