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Finding the Fourth Proportional to 431,598.78, 647,398.17 and 182,282.94

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Solution

The fourth proportional to 431,598.78, 647,398.17 and 182,282.94 is: 273,424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,598.78 : 647,398.17 = 182,282.94 : x
  2. Step 2: Convert to fraction form
    431,598.78/647,398.17 = 182,282.94/x
  3. Step 3: Cross multiply
    431,598.78x = 647,398.17 × 182,282.94
  4. Step 4: Simplify right side
    431,598.78x = 118,009,641,778.22
  5. Step 5: Solve for x
    x = 118,009,641,778.22/431,598.78
  6. Step 6: Final answer
    x = 273,424.41

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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.