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Finding the Fourth Proportional to 309,487.92, 464,365.52 and 167,433.26

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Solution

The fourth proportional to 309,487.92, 464,365.52 and 167,433.26 is: 251,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,487.92 : 464,365.52 = 167,433.26 : x
  2. Step 2: Convert to fraction form
    309,487.92/464,365.52 = 167,433.26/x
  3. Step 3: Cross multiply
    309,487.92x = 464,365.52 × 167,433.26
  4. Step 4: Simplify right side
    309,487.92x = 77,750,229,686.20
  5. Step 5: Solve for x
    x = 77,750,229,686.20/309,487.92
  6. Step 6: Final answer
    x = 251,222.18

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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.