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Finding the Fourth Proportional to 385,189.62, 577,471.32 and 160,717.34

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Solution

The fourth proportional to 385,189.62, 577,471.32 and 160,717.34 is: 240,945.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,189.62 : 577,471.32 = 160,717.34 : x
  2. Step 2: Convert to fraction form
    385,189.62/577,471.32 = 160,717.34/x
  3. Step 3: Cross multiply
    385,189.62x = 577,471.32 × 160,717.34
  4. Step 4: Simplify right side
    385,189.62x = 92,809,651,589.33
  5. Step 5: Solve for x
    x = 92,809,651,589.33/385,189.62
  6. Step 6: Final answer
    x = 240,945.36

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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.