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Finding the Fourth Proportional to 467,959.16, 702,016.34 and 164,274.57

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Solution

The fourth proportional to 467,959.16, 702,016.34 and 164,274.57 is: 246,439.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,959.16 : 702,016.34 = 164,274.57 : x
  2. Step 2: Convert to fraction form
    467,959.16/702,016.34 = 164,274.57/x
  3. Step 3: Cross multiply
    467,959.16x = 702,016.34 × 164,274.57
  4. Step 4: Simplify right side
    467,959.16x = 115,323,429,287.08
  5. Step 5: Solve for x
    x = 115,323,429,287.08/467,959.16
  6. Step 6: Final answer
    x = 246,439.09

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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.