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Finding the Fourth Proportional to 348,883.20, 523,555.20 and 199,123.20

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Solution

The fourth proportional to 348,883.20, 523,555.20 and 199,123.20 is: 298,816.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,883.20 : 523,555.20 = 199,123.20 : x
  2. Step 2: Convert to fraction form
    348,883.20/523,555.20 = 199,123.20/x
  3. Step 3: Cross multiply
    348,883.20x = 523,555.20 × 199,123.20
  4. Step 4: Simplify right side
    348,883.20x = 104,251,986,800.64
  5. Step 5: Solve for x
    x = 104,251,986,800.64/348,883.20
  6. Step 6: Final answer
    x = 298,816.30

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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.