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Finding the Fourth Proportional to 550,205.94, 825,238.62 and 213,015.90

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Solution

The fourth proportional to 550,205.94, 825,238.62 and 213,015.90 is: 319,496.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,205.94 : 825,238.62 = 213,015.90 : x
  2. Step 2: Convert to fraction form
    550,205.94/825,238.62 = 213,015.90/x
  3. Step 3: Cross multiply
    550,205.94x = 825,238.62 × 213,015.90
  4. Step 4: Simplify right side
    550,205.94x = 175,788,947,354.06
  5. Step 5: Solve for x
    x = 175,788,947,354.06/550,205.94
  6. Step 6: Final answer
    x = 319,496.64

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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.