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Finding the Fourth Proportional to 467,589.09, 701,165.65 and 242,889.19

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Solution

The fourth proportional to 467,589.09, 701,165.65 and 242,889.19 is: 364,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,589.09 : 701,165.65 = 242,889.19 : x
  2. Step 2: Convert to fraction form
    467,589.09/701,165.65 = 242,889.19/x
  3. Step 3: Cross multiply
    467,589.09x = 701,165.65 × 242,889.19
  4. Step 4: Simplify right side
    467,589.09x = 170,305,556,784.32
  5. Step 5: Solve for x
    x = 170,305,556,784.32/467,589.09
  6. Step 6: Final answer
    x = 364,220.55

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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.