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Finding the Fourth Proportional to 456,722.91, 685,149.93 and 141,204.42

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Solution

The fourth proportional to 456,722.91, 685,149.93 and 141,204.42 is: 211,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,722.91 : 685,149.93 = 141,204.42 : x
  2. Step 2: Convert to fraction form
    456,722.91/685,149.93 = 141,204.42/x
  3. Step 3: Cross multiply
    456,722.91x = 685,149.93 × 141,204.42
  4. Step 4: Simplify right side
    456,722.91x = 96,746,198,478.69
  5. Step 5: Solve for x
    x = 96,746,198,478.69/456,722.91
  6. Step 6: Final answer
    x = 211,826.90

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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.