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Finding the Fourth Proportional to 275,092.86, 412,639.29 and 181,576.74

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Solution

The fourth proportional to 275,092.86, 412,639.29 and 181,576.74 is: 272,365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,092.86 : 412,639.29 = 181,576.74 : x
  2. Step 2: Convert to fraction form
    275,092.86/412,639.29 = 181,576.74/x
  3. Step 3: Cross multiply
    275,092.86x = 412,639.29 × 181,576.74
  4. Step 4: Simplify right side
    275,092.86x = 74,925,697,074.11
  5. Step 5: Solve for x
    x = 74,925,697,074.11/275,092.86
  6. Step 6: Final answer
    x = 272,365.11

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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.