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Finding the Fourth Proportional to 463,234.62, 639,210.06 and 259,296.96

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Solution

The fourth proportional to 463,234.62, 639,210.06 and 259,296.96 is: 357,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,234.62 : 639,210.06 = 259,296.96 : x
  2. Step 2: Convert to fraction form
    463,234.62/639,210.06 = 259,296.96/x
  3. Step 3: Cross multiply
    463,234.62x = 639,210.06 × 259,296.96
  4. Step 4: Simplify right side
    463,234.62x = 165,745,225,359.42
  5. Step 5: Solve for x
    x = 165,745,225,359.42/463,234.62
  6. Step 6: Final answer
    x = 357,799.74

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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.