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Finding the Fourth Proportional to 499,898.40, 749,264.40 and 200,230.80

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Solution

The fourth proportional to 499,898.40, 749,264.40 and 200,230.80 is: 300,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,898.40 : 749,264.40 = 200,230.80 : x
  2. Step 2: Convert to fraction form
    499,898.40/749,264.40 = 200,230.80/x
  3. Step 3: Cross multiply
    499,898.40x = 749,264.40 × 200,230.80
  4. Step 4: Simplify right side
    499,898.40x = 150,025,810,223.52
  5. Step 5: Solve for x
    x = 150,025,810,223.52/499,898.40
  6. Step 6: Final answer
    x = 300,112.60

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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.