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Finding the Fourth Proportional to 472,588.46, 708,921.09 and 140,163.50

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Solution

The fourth proportional to 472,588.46, 708,921.09 and 140,163.50 is: 210,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,588.46 : 708,921.09 = 140,163.50 : x
  2. Step 2: Convert to fraction form
    472,588.46/708,921.09 = 140,163.50/x
  3. Step 3: Cross multiply
    472,588.46x = 708,921.09 × 140,163.50
  4. Step 4: Simplify right side
    472,588.46x = 99,364,861,198.22
  5. Step 5: Solve for x
    x = 99,364,861,198.22/472,588.46
  6. Step 6: Final answer
    x = 210,256.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.