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Finding the Fourth Proportional to 314,791.78, 472,327.10 and 164,996.46

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Solution

The fourth proportional to 314,791.78, 472,327.10 and 164,996.46 is: 247,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,791.78 : 472,327.10 = 164,996.46 : x
  2. Step 2: Convert to fraction form
    314,791.78/472,327.10 = 164,996.46/x
  3. Step 3: Cross multiply
    314,791.78x = 472,327.10 × 164,996.46
  4. Step 4: Simplify right side
    314,791.78x = 77,932,299,462.07
  5. Step 5: Solve for x
    x = 77,932,299,462.07/314,791.78
  6. Step 6: Final answer
    x = 247,567.77

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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.