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Finding the Fourth Proportional to 512,696.40, 769,822.20 and 394,501.20

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Solution

The fourth proportional to 512,696.40, 769,822.20 and 394,501.20 is: 592,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,696.40 : 769,822.20 = 394,501.20 : x
  2. Step 2: Convert to fraction form
    512,696.40/769,822.20 = 394,501.20/x
  3. Step 3: Cross multiply
    512,696.40x = 769,822.20 × 394,501.20
  4. Step 4: Simplify right side
    512,696.40x = 303,695,781,686.64
  5. Step 5: Solve for x
    x = 303,695,781,686.64/512,696.40
  6. Step 6: Final answer
    x = 592,350.13

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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.