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Finding the Fourth Proportional to 384,278.35, 576,438.55 and 159,661.50

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Solution

The fourth proportional to 384,278.35, 576,438.55 and 159,661.50 is: 239,500.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,278.35 : 576,438.55 = 159,661.50 : x
  2. Step 2: Convert to fraction form
    384,278.35/576,438.55 = 159,661.50/x
  3. Step 3: Cross multiply
    384,278.35x = 576,438.55 × 159,661.50
  4. Step 4: Simplify right side
    384,278.35x = 92,035,043,550.83
  5. Step 5: Solve for x
    x = 92,035,043,550.83/384,278.35
  6. Step 6: Final answer
    x = 239,500.99

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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.