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Finding the Fourth Proportional to 561,156.72, 842,070.46 and 206,206.62

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Solution

The fourth proportional to 561,156.72, 842,070.46 and 206,206.62 is: 309,433.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,156.72 : 842,070.46 = 206,206.62 : x
  2. Step 2: Convert to fraction form
    561,156.72/842,070.46 = 206,206.62/x
  3. Step 3: Cross multiply
    561,156.72x = 842,070.46 × 206,206.62
  4. Step 4: Simplify right side
    561,156.72x = 173,640,503,358.45
  5. Step 5: Solve for x
    x = 173,640,503,358.45/561,156.72
  6. Step 6: Final answer
    x = 309,433.17

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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.