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Finding the Fourth Proportional to 344,471.35, 475,372.31 and 189,432.64

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Solution

The fourth proportional to 344,471.35, 475,372.31 and 189,432.64 is: 261,418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,471.35 : 475,372.31 = 189,432.64 : x
  2. Step 2: Convert to fraction form
    344,471.35/475,372.31 = 189,432.64/x
  3. Step 3: Cross multiply
    344,471.35x = 475,372.31 × 189,432.64
  4. Step 4: Simplify right side
    344,471.35x = 90,051,031,666.20
  5. Step 5: Solve for x
    x = 90,051,031,666.20/344,471.35
  6. Step 6: Final answer
    x = 261,418.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.