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Finding the Fourth Proportional to 356,383.66, 491,809.41 and 213,143.68

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Solution

The fourth proportional to 356,383.66, 491,809.41 and 213,143.68 is: 294,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,383.66 : 491,809.41 = 213,143.68 : x
  2. Step 2: Convert to fraction form
    356,383.66/491,809.41 = 213,143.68/x
  3. Step 3: Cross multiply
    356,383.66x = 491,809.41 × 213,143.68
  4. Step 4: Simplify right side
    356,383.66x = 104,826,067,506.03
  5. Step 5: Solve for x
    x = 104,826,067,506.03/356,383.66
  6. Step 6: Final answer
    x = 294,138.25

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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.