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Finding the Fourth Proportional to 314,735.73, 472,243.17 and 164,940.45

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Solution

The fourth proportional to 314,735.73, 472,243.17 and 164,940.45 is: 247,483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,735.73 : 472,243.17 = 164,940.45 : x
  2. Step 2: Convert to fraction form
    314,735.73/472,243.17 = 164,940.45/x
  3. Step 3: Cross multiply
    314,735.73x = 472,243.17 × 164,940.45
  4. Step 4: Simplify right side
    314,735.73x = 77,892,000,969.23
  5. Step 5: Solve for x
    x = 77,892,000,969.23/314,735.73
  6. Step 6: Final answer
    x = 247,483.82

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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.