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Finding the Fourth Proportional to 550,206.94, 825,240.12 and 213,016.90

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Solution

The fourth proportional to 550,206.94, 825,240.12 and 213,016.90 is: 319,498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,206.94 : 825,240.12 = 213,016.90 : x
  2. Step 2: Convert to fraction form
    550,206.94/825,240.12 = 213,016.90/x
  3. Step 3: Cross multiply
    550,206.94x = 825,240.12 × 213,016.90
  4. Step 4: Simplify right side
    550,206.94x = 175,790,092,118.03
  5. Step 5: Solve for x
    x = 175,790,092,118.03/550,206.94
  6. Step 6: Final answer
    x = 319,498.14

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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.