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Finding the Fourth Proportional to 674,049.16, 929,760.72 and 512,550.14

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Solution

The fourth proportional to 674,049.16, 929,760.72 and 512,550.14 is: 706,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,049.16 : 929,760.72 = 512,550.14 : x
  2. Step 2: Convert to fraction form
    674,049.16/929,760.72 = 512,550.14/x
  3. Step 3: Cross multiply
    674,049.16x = 929,760.72 × 512,550.14
  4. Step 4: Simplify right side
    674,049.16x = 476,548,987,202.50
  5. Step 5: Solve for x
    x = 476,548,987,202.50/674,049.16
  6. Step 6: Final answer
    x = 706,994.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.