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Finding the Fourth Proportional to 471,992.49, 707,726.30 and 156,277.17

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Solution

The fourth proportional to 471,992.49, 707,726.30 and 156,277.17 is: 234,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,992.49 : 707,726.30 = 156,277.17 : x
  2. Step 2: Convert to fraction form
    471,992.49/707,726.30 = 156,277.17/x
  3. Step 3: Cross multiply
    471,992.49x = 707,726.30 × 156,277.17
  4. Step 4: Simplify right side
    471,992.49x = 110,601,462,517.19
  5. Step 5: Solve for x
    x = 110,601,462,517.19/471,992.49
  6. Step 6: Final answer
    x = 234,328.86

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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.