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Finding the Fourth Proportional to 275,298.27, 412,908.53 and 88,285.47

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Solution

The fourth proportional to 275,298.27, 412,908.53 and 88,285.47 is: 132,415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,298.27 : 412,908.53 = 88,285.47 : x
  2. Step 2: Convert to fraction form
    275,298.27/412,908.53 = 88,285.47/x
  3. Step 3: Cross multiply
    275,298.27x = 412,908.53 × 88,285.47
  4. Step 4: Simplify right side
    275,298.27x = 36,453,823,196.63
  5. Step 5: Solve for x
    x = 36,453,823,196.63/275,298.27
  6. Step 6: Final answer
    x = 132,415.74

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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.