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Finding the Fourth Proportional to 564,300.36, 846,514.78 and 204,640.68

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Solution

The fourth proportional to 564,300.36, 846,514.78 and 204,640.68 is: 306,984.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,300.36 : 846,514.78 = 204,640.68 : x
  2. Step 2: Convert to fraction form
    564,300.36/846,514.78 = 204,640.68/x
  3. Step 3: Cross multiply
    564,300.36x = 846,514.78 × 204,640.68
  4. Step 4: Simplify right side
    564,300.36x = 173,231,360,209.25
  5. Step 5: Solve for x
    x = 173,231,360,209.25/564,300.36
  6. Step 6: Final answer
    x = 306,984.32

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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.