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Finding the Fourth Proportional to 299,385.06, 413,141.04 and 178,464

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Solution

The fourth proportional to 299,385.06, 413,141.04 and 178,464 is: 246,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,385.06 : 413,141.04 = 178,464 : x
  2. Step 2: Convert to fraction form
    299,385.06/413,141.04 = 178,464/x
  3. Step 3: Cross multiply
    299,385.06x = 413,141.04 × 178,464
  4. Step 4: Simplify right side
    299,385.06x = 73,730,802,562.56
  5. Step 5: Solve for x
    x = 73,730,802,562.56/299,385.06
  6. Step 6: Final answer
    x = 246,274.15

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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.