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Finding the Fourth Proportional to 314,747.30, 472,260.43 and 164,951.94

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Solution

The fourth proportional to 314,747.30, 472,260.43 and 164,951.94 is: 247,501.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,747.30 : 472,260.43 = 164,951.94 : x
  2. Step 2: Convert to fraction form
    314,747.30/472,260.43 = 164,951.94/x
  3. Step 3: Cross multiply
    314,747.30x = 472,260.43 × 164,951.94
  4. Step 4: Simplify right side
    314,747.30x = 77,900,274,113.73
  5. Step 5: Solve for x
    x = 77,900,274,113.73/314,747.30
  6. Step 6: Final answer
    x = 247,501.01

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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.