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Finding the Fourth Proportional to 524,660.20, 787,314.30 and 209,084.20

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Solution

The fourth proportional to 524,660.20, 787,314.30 and 209,084.20 is: 313,755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,660.20 : 787,314.30 = 209,084.20 : x
  2. Step 2: Convert to fraction form
    524,660.20/787,314.30 = 209,084.20/x
  3. Step 3: Cross multiply
    524,660.20x = 787,314.30 × 209,084.20
  4. Step 4: Simplify right side
    524,660.20x = 164,614,980,564.06
  5. Step 5: Solve for x
    x = 164,614,980,564.06/524,660.20
  6. Step 6: Final answer
    x = 313,755.42

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1.5x scale

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.