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Finding the Fourth Proportional to 467,524.80, 701,287.20 and 130,564.80

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Solution

The fourth proportional to 467,524.80, 701,287.20 and 130,564.80 is: 195,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,524.80 : 701,287.20 = 130,564.80 : x
  2. Step 2: Convert to fraction form
    467,524.80/701,287.20 = 130,564.80/x
  3. Step 3: Cross multiply
    467,524.80x = 701,287.20 × 130,564.80
  4. Step 4: Simplify right side
    467,524.80x = 91,563,423,010.56
  5. Step 5: Solve for x
    x = 91,563,423,010.56/467,524.80
  6. Step 6: Final answer
    x = 195,847.20

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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.