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Finding the Fourth Proportional to 461,162, 636,403.56 and 259,958

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Solution

The fourth proportional to 461,162, 636,403.56 and 259,958 is: 358,742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,162 : 636,403.56 = 259,958 : x
  2. Step 2: Convert to fraction form
    461,162/636,403.56 = 259,958/x
  3. Step 3: Cross multiply
    461,162x = 636,403.56 × 259,958
  4. Step 4: Simplify right side
    461,162x = 165,438,196,650.48
  5. Step 5: Solve for x
    x = 165,438,196,650.48/461,162
  6. Step 6: Final answer
    x = 358,742.04

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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.