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Finding the Fourth Proportional to 344,955.78, 517,511.41 and 105,091.14

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Solution

The fourth proportional to 344,955.78, 517,511.41 and 105,091.14 is: 157,660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,955.78 : 517,511.41 = 105,091.14 : x
  2. Step 2: Convert to fraction form
    344,955.78/517,511.41 = 105,091.14/x
  3. Step 3: Cross multiply
    344,955.78x = 517,511.41 × 105,091.14
  4. Step 4: Simplify right side
    344,955.78x = 54,385,864,039.91
  5. Step 5: Solve for x
    x = 54,385,864,039.91/344,955.78
  6. Step 6: Final answer
    x = 157,660.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.