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Finding the Fourth Proportional to 550,194.42, 825,416.10 and 195,208.86

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Solution

The fourth proportional to 550,194.42, 825,416.10 and 195,208.86 is: 292,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,194.42 : 825,416.10 = 195,208.86 : x
  2. Step 2: Convert to fraction form
    550,194.42/825,416.10 = 195,208.86/x
  3. Step 3: Cross multiply
    550,194.42x = 825,416.10 × 195,208.86
  4. Step 4: Simplify right side
    550,194.42x = 161,128,535,906.65
  5. Step 5: Solve for x
    x = 161,128,535,906.65/550,194.42
  6. Step 6: Final answer
    x = 292,857.45

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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.