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Finding the Fourth Proportional to 585,313.20, 876,949.20 and 269,121.60

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Solution

The fourth proportional to 585,313.20, 876,949.20 and 269,121.60 is: 403,213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,313.20 : 876,949.20 = 269,121.60 : x
  2. Step 2: Convert to fraction form
    585,313.20/876,949.20 = 269,121.60/x
  3. Step 3: Cross multiply
    585,313.20x = 876,949.20 × 269,121.60
  4. Step 4: Simplify right side
    585,313.20x = 236,005,971,822.72
  5. Step 5: Solve for x
    x = 236,005,971,822.72/585,313.20
  6. Step 6: Final answer
    x = 403,213.14

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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.