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Finding the Fourth Proportional to 314,732.05, 472,237.61 and 164,936.73

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Solution

The fourth proportional to 314,732.05, 472,237.61 and 164,936.73 is: 247,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,732.05 : 472,237.61 = 164,936.73 : x
  2. Step 2: Convert to fraction form
    314,732.05/472,237.61 = 164,936.73/x
  3. Step 3: Cross multiply
    314,732.05x = 472,237.61 × 164,936.73
  4. Step 4: Simplify right side
    314,732.05x = 77,889,327,176.42
  5. Step 5: Solve for x
    x = 77,889,327,176.42/314,732.05
  6. Step 6: Final answer
    x = 247,478.22

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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.