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Finding the Fourth Proportional to 314,905.32, 472,630.95 and 165,251.34

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Solution

The fourth proportional to 314,905.32, 472,630.95 and 165,251.34 is: 248,020.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,905.32 : 472,630.95 = 165,251.34 : x
  2. Step 2: Convert to fraction form
    314,905.32/472,630.95 = 165,251.34/x
  3. Step 3: Cross multiply
    314,905.32x = 472,630.95 × 165,251.34
  4. Step 4: Simplify right side
    314,905.32x = 78,102,897,812.97
  5. Step 5: Solve for x
    x = 78,102,897,812.97/314,905.32
  6. Step 6: Final answer
    x = 248,020.26

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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.