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Finding the Fourth Proportional to 299,434.88, 413,273.40 and 178,584.32

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Solution

The fourth proportional to 299,434.88, 413,273.40 and 178,584.32 is: 246,478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,434.88 : 413,273.40 = 178,584.32 : x
  2. Step 2: Convert to fraction form
    299,434.88/413,273.40 = 178,584.32/x
  3. Step 3: Cross multiply
    299,434.88x = 413,273.40 × 178,584.32
  4. Step 4: Simplify right side
    299,434.88x = 73,804,149,113.09
  5. Step 5: Solve for x
    x = 73,804,149,113.09/299,434.88
  6. Step 6: Final answer
    x = 246,478.13

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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.