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Finding the Fourth Proportional to 568,497.11, 851,782.14 and 343,384.56

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Solution

The fourth proportional to 568,497.11, 851,782.14 and 343,384.56 is: 514,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,497.11 : 851,782.14 = 343,384.56 : x
  2. Step 2: Convert to fraction form
    568,497.11/851,782.14 = 343,384.56/x
  3. Step 3: Cross multiply
    568,497.11x = 851,782.14 × 343,384.56
  4. Step 4: Simplify right side
    568,497.11x = 292,488,835,359.76
  5. Step 5: Solve for x
    x = 292,488,835,359.76/568,497.11
  6. Step 6: Final answer
    x = 514,494.85

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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.