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Finding the Fourth Proportional to 313,584.39, 468,006.85 and 283,317.22

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Solution

The fourth proportional to 313,584.39, 468,006.85 and 283,317.22 is: 422,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,584.39 : 468,006.85 = 283,317.22 : x
  2. Step 2: Convert to fraction form
    313,584.39/468,006.85 = 283,317.22/x
  3. Step 3: Cross multiply
    313,584.39x = 468,006.85 × 283,317.22
  4. Step 4: Simplify right side
    313,584.39x = 132,594,399,682.96
  5. Step 5: Solve for x
    x = 132,594,399,682.96/313,584.39
  6. Step 6: Final answer
    x = 422,834.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.