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Finding the Fourth Proportional to 508,744.95, 763,225.37 and 193,194.87

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Solution

The fourth proportional to 508,744.95, 763,225.37 and 193,194.87 is: 289,833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,744.95 : 763,225.37 = 193,194.87 : x
  2. Step 2: Convert to fraction form
    508,744.95/763,225.37 = 193,194.87/x
  3. Step 3: Cross multiply
    508,744.95x = 763,225.37 × 193,194.87
  4. Step 4: Simplify right side
    508,744.95x = 147,451,225,171.88
  5. Step 5: Solve for x
    x = 147,451,225,171.88/508,744.95
  6. Step 6: Final answer
    x = 289,833.29

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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.