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Finding the Fourth Proportional to 334,453.68, 501,757.13 and 144,945.86

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Solution

The fourth proportional to 334,453.68, 501,757.13 and 144,945.86 is: 217,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,453.68 : 501,757.13 = 144,945.86 : x
  2. Step 2: Convert to fraction form
    334,453.68/501,757.13 = 144,945.86/x
  3. Step 3: Cross multiply
    334,453.68x = 501,757.13 × 144,945.86
  4. Step 4: Simplify right side
    334,453.68x = 72,727,616,572.56
  5. Step 5: Solve for x
    x = 72,727,616,572.56/334,453.68
  6. Step 6: Final answer
    x = 217,451.98

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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.