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Finding the Fourth Proportional to 301,826.36, 416,488.56 and 174,542.96

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Solution

The fourth proportional to 301,826.36, 416,488.56 and 174,542.96 is: 240,850.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,826.36 : 416,488.56 = 174,542.96 : x
  2. Step 2: Convert to fraction form
    301,826.36/416,488.56 = 174,542.96/x
  3. Step 3: Cross multiply
    301,826.36x = 416,488.56 × 174,542.96
  4. Step 4: Simplify right side
    301,826.36x = 72,695,146,068.54
  5. Step 5: Solve for x
    x = 72,695,146,068.54/301,826.36
  6. Step 6: Final answer
    x = 240,850.89

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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.