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Finding the Fourth Proportional to 315,476.24, 435,358.20 and 202,299.44

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Solution

The fourth proportional to 315,476.24, 435,358.20 and 202,299.44 is: 279,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,476.24 : 435,358.20 = 202,299.44 : x
  2. Step 2: Convert to fraction form
    315,476.24/435,358.20 = 202,299.44/x
  3. Step 3: Cross multiply
    315,476.24x = 435,358.20 × 202,299.44
  4. Step 4: Simplify right side
    315,476.24x = 88,072,720,059.41
  5. Step 5: Solve for x
    x = 88,072,720,059.41/315,476.24
  6. Step 6: Final answer
    x = 279,173.86

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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.