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Finding the Fourth Proportional to 325,415.94, 488,468.97 and 288,217.50

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Solution

The fourth proportional to 325,415.94, 488,468.97 and 288,217.50 is: 432,631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,415.94 : 488,468.97 = 288,217.50 : x
  2. Step 2: Convert to fraction form
    325,415.94/488,468.97 = 288,217.50/x
  3. Step 3: Cross multiply
    325,415.94x = 488,468.97 × 288,217.50
  4. Step 4: Simplify right side
    325,415.94x = 140,785,305,360.98
  5. Step 5: Solve for x
    x = 140,785,305,360.98/325,415.94
  6. Step 6: Final answer
    x = 432,631.87

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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.