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Finding the Fourth Proportional to 376,921.84, 565,441.08 and 234,657.50

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Solution

The fourth proportional to 376,921.84, 565,441.08 and 234,657.50 is: 352,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,921.84 : 565,441.08 = 234,657.50 : x
  2. Step 2: Convert to fraction form
    376,921.84/565,441.08 = 234,657.50/x
  3. Step 3: Cross multiply
    376,921.84x = 565,441.08 × 234,657.50
  4. Step 4: Simplify right side
    376,921.84x = 132,684,990,230.10
  5. Step 5: Solve for x
    x = 132,684,990,230.10/376,921.84
  6. Step 6: Final answer
    x = 352,022.56

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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.