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Finding the Fourth Proportional to 514,067.57, 709,435.41 and 284,624.85

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Solution

The fourth proportional to 514,067.57, 709,435.41 and 284,624.85 is: 392,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,067.57 : 709,435.41 = 284,624.85 : x
  2. Step 2: Convert to fraction form
    514,067.57/709,435.41 = 284,624.85/x
  3. Step 3: Cross multiply
    514,067.57x = 709,435.41 × 284,624.85
  4. Step 4: Simplify right side
    514,067.57x = 201,922,945,382.35
  5. Step 5: Solve for x
    x = 201,922,945,382.35/514,067.57
  6. Step 6: Final answer
    x = 392,794.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.