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Finding the Fourth Proportional to 534,677.69, 802,016.54 and 179,691.72

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Solution

The fourth proportional to 534,677.69, 802,016.54 and 179,691.72 is: 269,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,677.69 : 802,016.54 = 179,691.72 : x
  2. Step 2: Convert to fraction form
    534,677.69/802,016.54 = 179,691.72/x
  3. Step 3: Cross multiply
    534,677.69x = 802,016.54 × 179,691.72
  4. Step 4: Simplify right side
    534,677.69x = 144,115,726,632.51
  5. Step 5: Solve for x
    x = 144,115,726,632.51/534,677.69
  6. Step 6: Final answer
    x = 269,537.58

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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.