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Finding the Fourth Proportional to 358,506.78, 538,092.48 and 181,138.46

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Solution

The fourth proportional to 358,506.78, 538,092.48 and 181,138.46 is: 271,875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,506.78 : 538,092.48 = 181,138.46 : x
  2. Step 2: Convert to fraction form
    358,506.78/538,092.48 = 181,138.46/x
  3. Step 3: Cross multiply
    358,506.78x = 538,092.48 × 181,138.46
  4. Step 4: Simplify right side
    358,506.78x = 97,469,240,474.32
  5. Step 5: Solve for x
    x = 97,469,240,474.32/358,506.78
  6. Step 6: Final answer
    x = 271,875.58

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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.