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Finding the Fourth Proportional to 568,266, 852,632.67 and 417,234.30

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Solution

The fourth proportional to 568,266, 852,632.67 and 417,234.30 is: 626,023.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,266 : 852,632.67 = 417,234.30 : x
  2. Step 2: Convert to fraction form
    568,266/852,632.67 = 417,234.30/x
  3. Step 3: Cross multiply
    568,266x = 852,632.67 × 417,234.30
  4. Step 4: Simplify right side
    568,266x = 355,747,595,224.58
  5. Step 5: Solve for x
    x = 355,747,595,224.58/568,266
  6. Step 6: Final answer
    x = 626,023.02

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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.