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Finding the Fourth Proportional to 550,307.86, 825,323.28 and 213,232.84

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Solution

The fourth proportional to 550,307.86, 825,323.28 and 213,232.84 is: 319,795.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,307.86 : 825,323.28 = 213,232.84 : x
  2. Step 2: Convert to fraction form
    550,307.86/825,323.28 = 213,232.84/x
  3. Step 3: Cross multiply
    550,307.86x = 825,323.28 × 213,232.84
  4. Step 4: Simplify right side
    550,307.86x = 175,986,026,912.52
  5. Step 5: Solve for x
    x = 175,986,026,912.52/550,307.86
  6. Step 6: Final answer
    x = 319,795.59

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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.