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Finding the Fourth Proportional to 377,727.60, 565,986.60 and 200,002.80

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Solution

The fourth proportional to 377,727.60, 565,986.60 and 200,002.80 is: 299,683.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,727.60 : 565,986.60 = 200,002.80 : x
  2. Step 2: Convert to fraction form
    377,727.60/565,986.60 = 200,002.80/x
  3. Step 3: Cross multiply
    377,727.60x = 565,986.60 × 200,002.80
  4. Step 4: Simplify right side
    377,727.60x = 113,198,904,762.48
  5. Step 5: Solve for x
    x = 113,198,904,762.48/377,727.60
  6. Step 6: Final answer
    x = 299,683.96

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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.