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Finding the Fourth Proportional to 296,813.52, 409,655.28 and 225,072.60

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Solution

The fourth proportional to 296,813.52, 409,655.28 and 225,072.60 is: 310,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,813.52 : 409,655.28 = 225,072.60 : x
  2. Step 2: Convert to fraction form
    296,813.52/409,655.28 = 225,072.60/x
  3. Step 3: Cross multiply
    296,813.52x = 409,655.28 × 225,072.60
  4. Step 4: Simplify right side
    296,813.52x = 92,202,178,973.33
  5. Step 5: Solve for x
    x = 92,202,178,973.33/296,813.52
  6. Step 6: Final answer
    x = 310,640.09

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Why These Related Problems?

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