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Finding the Fourth Proportional to 471,715.92, 707,667.26 and 134,759.48

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Solution

The fourth proportional to 471,715.92, 707,667.26 and 134,759.48 is: 202,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,715.92 : 707,667.26 = 134,759.48 : x
  2. Step 2: Convert to fraction form
    471,715.92/707,667.26 = 134,759.48/x
  3. Step 3: Cross multiply
    471,715.92x = 707,667.26 × 134,759.48
  4. Step 4: Simplify right side
    471,715.92x = 95,364,871,970.62
  5. Step 5: Solve for x
    x = 95,364,871,970.62/471,715.92
  6. Step 6: Final answer
    x = 202,165.90

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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.