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Finding the Fourth Proportional to 467,727.85, 701,798.33 and 227,708.65

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Solution

The fourth proportional to 467,727.85, 701,798.33 and 227,708.65 is: 341,663.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,727.85 : 701,798.33 = 227,708.65 : x
  2. Step 2: Convert to fraction form
    467,727.85/701,798.33 = 227,708.65/x
  3. Step 3: Cross multiply
    467,727.85x = 701,798.33 × 227,708.65
  4. Step 4: Simplify right side
    467,727.85x = 159,805,549,158.01
  5. Step 5: Solve for x
    x = 159,805,549,158.01/467,727.85
  6. Step 6: Final answer
    x = 341,663.53

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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.