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Finding the Fourth Proportional to 411,478.87, 567,841.68 and 230,193.83

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Solution

The fourth proportional to 411,478.87, 567,841.68 and 230,193.83 is: 317,667.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,478.87 : 567,841.68 = 230,193.83 : x
  2. Step 2: Convert to fraction form
    411,478.87/567,841.68 = 230,193.83/x
  3. Step 3: Cross multiply
    411,478.87x = 567,841.68 × 230,193.83
  4. Step 4: Simplify right side
    411,478.87x = 130,713,647,162.66
  5. Step 5: Solve for x
    x = 130,713,647,162.66/411,478.87
  6. Step 6: Final answer
    x = 317,667.95

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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.