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Finding the Fourth Proportional to 568,838.34, 853,724.07 and 288,435.78

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Solution

The fourth proportional to 568,838.34, 853,724.07 and 288,435.78 is: 432,890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,838.34 : 853,724.07 = 288,435.78 : x
  2. Step 2: Convert to fraction form
    568,838.34/853,724.07 = 288,435.78/x
  3. Step 3: Cross multiply
    568,838.34x = 853,724.07 × 288,435.78
  4. Step 4: Simplify right side
    568,838.34x = 246,244,568,035.23
  5. Step 5: Solve for x
    x = 246,244,568,035.23/568,838.34
  6. Step 6: Final answer
    x = 432,890.24

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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.