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Finding the Fourth Proportional to 411,754.83, 568,576.28 and 259,047.55

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Solution

The fourth proportional to 411,754.83, 568,576.28 and 259,047.55 is: 357,708.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,754.83 : 568,576.28 = 259,047.55 : x
  2. Step 2: Convert to fraction form
    411,754.83/568,576.28 = 259,047.55/x
  3. Step 3: Cross multiply
    411,754.83x = 568,576.28 × 259,047.55
  4. Step 4: Simplify right side
    411,754.83x = 147,288,292,322.11
  5. Step 5: Solve for x
    x = 147,288,292,322.11/411,754.83
  6. Step 6: Final answer
    x = 357,708.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.