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Finding the Fourth Proportional to 500,168.27, 750,392.88 and 200,859.02

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Solution

The fourth proportional to 500,168.27, 750,392.88 and 200,859.02 is: 301,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,168.27 : 750,392.88 = 200,859.02 : x
  2. Step 2: Convert to fraction form
    500,168.27/750,392.88 = 200,859.02/x
  3. Step 3: Cross multiply
    500,168.27x = 750,392.88 × 200,859.02
  4. Step 4: Simplify right side
    500,168.27x = 150,723,176,384.83
  5. Step 5: Solve for x
    x = 150,723,176,384.83/500,168.27
  6. Step 6: Final answer
    x = 301,344.94

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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.