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Finding the Fourth Proportional to 362,542.69, 543,851.70 and 172,971.10

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Solution

The fourth proportional to 362,542.69, 543,851.70 and 172,971.10 is: 259,474.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,542.69 : 543,851.70 = 172,971.10 : x
  2. Step 2: Convert to fraction form
    362,542.69/543,851.70 = 172,971.10/x
  3. Step 3: Cross multiply
    362,542.69x = 543,851.70 × 172,971.10
  4. Step 4: Simplify right side
    362,542.69x = 94,070,627,790.01
  5. Step 5: Solve for x
    x = 94,070,627,790.01/362,542.69
  6. Step 6: Final answer
    x = 259,474.62

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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.