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Finding the Fourth Proportional to 296,838.40, 409,660.32 and 183,697.60

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Solution

The fourth proportional to 296,838.40, 409,660.32 and 183,697.60 is: 253,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,838.40 : 409,660.32 = 183,697.60 : x
  2. Step 2: Convert to fraction form
    296,838.40/409,660.32 = 183,697.60/x
  3. Step 3: Cross multiply
    296,838.40x = 409,660.32 × 183,697.60
  4. Step 4: Simplify right side
    296,838.40x = 75,253,617,599.23
  5. Step 5: Solve for x
    x = 75,253,617,599.23/296,838.40
  6. Step 6: Final answer
    x = 253,517.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.