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Finding the Fourth Proportional to 312,650.28, 467,854.34 and 270,674.75

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Solution

The fourth proportional to 312,650.28, 467,854.34 and 270,674.75 is: 405,041.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,650.28 : 467,854.34 = 270,674.75 : x
  2. Step 2: Convert to fraction form
    312,650.28/467,854.34 = 270,674.75/x
  3. Step 3: Cross multiply
    312,650.28x = 467,854.34 × 270,674.75
  4. Step 4: Simplify right side
    312,650.28x = 126,636,356,332.18
  5. Step 5: Solve for x
    x = 126,636,356,332.18/312,650.28
  6. Step 6: Final answer
    x = 405,041.56

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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.