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Finding the Fourth Proportional to 499,924.88, 749,883.68 and 200,401.10

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Solution

The fourth proportional to 499,924.88, 749,883.68 and 200,401.10 is: 300,600.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,924.88 : 749,883.68 = 200,401.10 : x
  2. Step 2: Convert to fraction form
    499,924.88/749,883.68 = 200,401.10/x
  3. Step 3: Cross multiply
    499,924.88x = 749,883.68 × 200,401.10
  4. Step 4: Simplify right side
    499,924.88x = 150,277,514,344.05
  5. Step 5: Solve for x
    x = 150,277,514,344.05/499,924.88
  6. Step 6: Final answer
    x = 300,600.19

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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.