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Finding the Fourth Proportional to 561,251.91, 842,210.01 and 206,515.04

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Solution

The fourth proportional to 561,251.91, 842,210.01 and 206,515.04 is: 309,894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,251.91 : 842,210.01 = 206,515.04 : x
  2. Step 2: Convert to fraction form
    561,251.91/842,210.01 = 206,515.04/x
  3. Step 3: Cross multiply
    561,251.91x = 842,210.01 × 206,515.04
  4. Step 4: Simplify right side
    561,251.91x = 173,929,033,903.55
  5. Step 5: Solve for x
    x = 173,929,033,903.55/561,251.91
  6. Step 6: Final answer
    x = 309,894.77

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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.