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Finding the Fourth Proportional to 633,723.20, 950,728.80 and 213,041.60

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Solution

The fourth proportional to 633,723.20, 950,728.80 and 213,041.60 is: 319,610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,723.20 : 950,728.80 = 213,041.60 : x
  2. Step 2: Convert to fraction form
    633,723.20/950,728.80 = 213,041.60/x
  3. Step 3: Cross multiply
    633,723.20x = 950,728.80 × 213,041.60
  4. Step 4: Simplify right side
    633,723.20x = 202,544,784,718.08
  5. Step 5: Solve for x
    x = 202,544,784,718.08/633,723.20
  6. Step 6: Final answer
    x = 319,610.81

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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.