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Finding the Fourth Proportional to 386,469.20, 579,991.80 and 199,384.40

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Solution

The fourth proportional to 386,469.20, 579,991.80 and 199,384.40 is: 299,225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,469.20 : 579,991.80 = 199,384.40 : x
  2. Step 2: Convert to fraction form
    386,469.20/579,991.80 = 199,384.40/x
  3. Step 3: Cross multiply
    386,469.20x = 579,991.80 × 199,384.40
  4. Step 4: Simplify right side
    386,469.20x = 115,641,317,047.92
  5. Step 5: Solve for x
    x = 115,641,317,047.92/386,469.20
  6. Step 6: Final answer
    x = 299,225.18

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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.