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Finding the Fourth Proportional to 633,715.20, 950,716.80 and 213,033.60

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Solution

The fourth proportional to 633,715.20, 950,716.80 and 213,033.60 is: 319,598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,715.20 : 950,716.80 = 213,033.60 : x
  2. Step 2: Convert to fraction form
    633,715.20/950,716.80 = 213,033.60/x
  3. Step 3: Cross multiply
    633,715.20x = 950,716.80 × 213,033.60
  4. Step 4: Simplify right side
    633,715.20x = 202,534,622,484.48
  5. Step 5: Solve for x
    x = 202,534,622,484.48/633,715.20
  6. Step 6: Final answer
    x = 319,598.81

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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.