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Finding the Fourth Proportional to 568,105.11, 783,984.51 and 313,456.32

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Solution

The fourth proportional to 568,105.11, 783,984.51 and 313,456.32 is: 432,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,105.11 : 783,984.51 = 313,456.32 : x
  2. Step 2: Convert to fraction form
    568,105.11/783,984.51 = 313,456.32/x
  3. Step 3: Cross multiply
    568,105.11x = 783,984.51 × 313,456.32
  4. Step 4: Simplify right side
    568,105.11x = 245,744,899,441.60
  5. Step 5: Solve for x
    x = 245,744,899,441.60/568,105.11
  6. Step 6: Final answer
    x = 432,569.42

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Double scale
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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.