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Finding the Fourth Proportional to 517,418.28, 776,221.42 and 213,813.17

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Solution

The fourth proportional to 517,418.28, 776,221.42 and 213,813.17 is: 320,758.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,418.28 : 776,221.42 = 213,813.17 : x
  2. Step 2: Convert to fraction form
    517,418.28/776,221.42 = 213,813.17/x
  3. Step 3: Cross multiply
    517,418.28x = 776,221.42 × 213,813.17
  4. Step 4: Simplify right side
    517,418.28x = 165,966,358,550.99
  5. Step 5: Solve for x
    x = 165,966,358,550.99/517,418.28
  6. Step 6: Final answer
    x = 320,758.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.