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Finding the Fourth Proportional to 338,214.82, 466,511.66 and 217,508.80

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Solution

The fourth proportional to 338,214.82, 466,511.66 and 217,508.80 is: 300,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,214.82 : 466,511.66 = 217,508.80 : x
  2. Step 2: Convert to fraction form
    338,214.82/466,511.66 = 217,508.80/x
  3. Step 3: Cross multiply
    338,214.82x = 466,511.66 × 217,508.80
  4. Step 4: Simplify right side
    338,214.82x = 101,470,391,352.61
  5. Step 5: Solve for x
    x = 101,470,391,352.61/338,214.82
  6. Step 6: Final answer
    x = 300,017.58

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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.