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Finding the Fourth Proportional to 310,301.22, 465,017.87 and 167,838.83

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Solution

The fourth proportional to 310,301.22, 465,017.87 and 167,838.83 is: 251,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,301.22 : 465,017.87 = 167,838.83 : x
  2. Step 2: Convert to fraction form
    310,301.22/465,017.87 = 167,838.83/x
  3. Step 3: Cross multiply
    310,301.22x = 465,017.87 × 167,838.83
  4. Step 4: Simplify right side
    310,301.22x = 78,048,053,324.40
  5. Step 5: Solve for x
    x = 78,048,053,324.40/310,301.22
  6. Step 6: Final answer
    x = 251,523.51

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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.