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Finding the Fourth Proportional to 234,854.73, 352,696.41 and 174,899.50

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Solution

The fourth proportional to 234,854.73, 352,696.41 and 174,899.50 is: 262,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,854.73 : 352,696.41 = 174,899.50 : x
  2. Step 2: Convert to fraction form
    234,854.73/352,696.41 = 174,899.50/x
  3. Step 3: Cross multiply
    234,854.73x = 352,696.41 × 174,899.50
  4. Step 4: Simplify right side
    234,854.73x = 61,686,424,879.05
  5. Step 5: Solve for x
    x = 61,686,424,879.05/234,854.73
  6. Step 6: Final answer
    x = 262,657.79

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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.