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Finding the Fourth Proportional to 467,518.78, 701,453.10 and 242,738.92

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Solution

The fourth proportional to 467,518.78, 701,453.10 and 242,738.92 is: 364,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,518.78 : 701,453.10 = 242,738.92 : x
  2. Step 2: Convert to fraction form
    467,518.78/701,453.10 = 242,738.92/x
  3. Step 3: Cross multiply
    467,518.78x = 701,453.10 × 242,738.92
  4. Step 4: Simplify right side
    467,518.78x = 170,269,967,924.65
  5. Step 5: Solve for x
    x = 170,269,967,924.65/467,518.78
  6. Step 6: Final answer
    x = 364,199.20

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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.