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Finding the Fourth Proportional to 287,644.77, 396,950.22 and 160,317.63

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Solution

The fourth proportional to 287,644.77, 396,950.22 and 160,317.63 is: 221,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,644.77 : 396,950.22 = 160,317.63 : x
  2. Step 2: Convert to fraction form
    287,644.77/396,950.22 = 160,317.63/x
  3. Step 3: Cross multiply
    287,644.77x = 396,950.22 × 160,317.63
  4. Step 4: Simplify right side
    287,644.77x = 63,638,118,498.38
  5. Step 5: Solve for x
    x = 63,638,118,498.38/287,644.77
  6. Step 6: Final answer
    x = 221,238.57

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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.