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Finding the Fourth Proportional to 461,163, 636,404.94 and 259,959

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Solution

The fourth proportional to 461,163, 636,404.94 and 259,959 is: 358,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,163 : 636,404.94 = 259,959 : x
  2. Step 2: Convert to fraction form
    461,163/636,404.94 = 259,959/x
  3. Step 3: Cross multiply
    461,163x = 636,404.94 × 259,959
  4. Step 4: Simplify right side
    461,163x = 165,439,191,797.46
  5. Step 5: Solve for x
    x = 165,439,191,797.46/461,163
  6. Step 6: Final answer
    x = 358,743.42

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1.5x scale

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.