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Finding the Fourth Proportional to 524,814.20, 787,610.10 and 209,497.40

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Solution

The fourth proportional to 524,814.20, 787,610.10 and 209,497.40 is: 314,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,814.20 : 787,610.10 = 209,497.40 : x
  2. Step 2: Convert to fraction form
    524,814.20/787,610.10 = 209,497.40/x
  3. Step 3: Cross multiply
    524,814.20x = 787,610.10 × 209,497.40
  4. Step 4: Simplify right side
    524,814.20x = 165,002,268,163.74
  5. Step 5: Solve for x
    x = 165,002,268,163.74/524,814.20
  6. Step 6: Final answer
    x = 314,401.30

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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.