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Finding the Fourth Proportional to 465,922.48, 699,206.84 and 213,233.84

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Solution

The fourth proportional to 465,922.48, 699,206.84 and 213,233.84 is: 319,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,922.48 : 699,206.84 = 213,233.84 : x
  2. Step 2: Convert to fraction form
    465,922.48/699,206.84 = 213,233.84/x
  3. Step 3: Cross multiply
    465,922.48x = 699,206.84 × 213,233.84
  4. Step 4: Simplify right side
    465,922.48x = 149,094,559,447.47
  5. Step 5: Solve for x
    x = 149,094,559,447.47/465,922.48
  6. Step 6: Final answer
    x = 319,998.64

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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.