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Finding the Fourth Proportional to 471,542.20, 706,916.54 and 205,102.04

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Solution

The fourth proportional to 471,542.20, 706,916.54 and 205,102.04 is: 307,480.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,542.20 : 706,916.54 = 205,102.04 : x
  2. Step 2: Convert to fraction form
    471,542.20/706,916.54 = 205,102.04/x
  3. Step 3: Cross multiply
    471,542.20x = 706,916.54 × 205,102.04
  4. Step 4: Simplify right side
    471,542.20x = 144,990,021,441.91
  5. Step 5: Solve for x
    x = 144,990,021,441.91/471,542.20
  6. Step 6: Final answer
    x = 307,480.48

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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.