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Finding the Fourth Proportional to 325,410.94, 488,461.47 and 288,212.50

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Solution

The fourth proportional to 325,410.94, 488,461.47 and 288,212.50 is: 432,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,410.94 : 488,461.47 = 288,212.50 : x
  2. Step 2: Convert to fraction form
    325,410.94/488,461.47 = 288,212.50/x
  3. Step 3: Cross multiply
    325,410.94x = 488,461.47 × 288,212.50
  4. Step 4: Simplify right side
    325,410.94x = 140,780,701,422.38
  5. Step 5: Solve for x
    x = 140,780,701,422.38/325,410.94
  6. Step 6: Final answer
    x = 432,624.37

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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.