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Finding the Fourth Proportional to 463,316.36, 694,981.38 and 182,831

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Solution

The fourth proportional to 463,316.36, 694,981.38 and 182,831 is: 274,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,316.36 : 694,981.38 = 182,831 : x
  2. Step 2: Convert to fraction form
    463,316.36/694,981.38 = 182,831/x
  3. Step 3: Cross multiply
    463,316.36x = 694,981.38 × 182,831
  4. Step 4: Simplify right side
    463,316.36x = 127,064,140,686.78
  5. Step 5: Solve for x
    x = 127,064,140,686.78/463,316.36
  6. Step 6: Final answer
    x = 274,249.20

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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.