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Finding the Fourth Proportional to 367,216.26, 550,823.40 and 207,219.48

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Solution

The fourth proportional to 367,216.26, 550,823.40 and 207,219.48 is: 310,828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,216.26 : 550,823.40 = 207,219.48 : x
  2. Step 2: Convert to fraction form
    367,216.26/550,823.40 = 207,219.48/x
  3. Step 3: Cross multiply
    367,216.26x = 550,823.40 × 207,219.48
  4. Step 4: Simplify right side
    367,216.26x = 114,141,338,519.83
  5. Step 5: Solve for x
    x = 114,141,338,519.83/367,216.26
  6. Step 6: Final answer
    x = 310,828.66

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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.