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Finding the Fourth Proportional to 293,328, 404,801.28 and 159,200.64

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Solution

The fourth proportional to 293,328, 404,801.28 and 159,200.64 is: 219,701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,328 : 404,801.28 = 159,200.64 : x
  2. Step 2: Convert to fraction form
    293,328/404,801.28 = 159,200.64/x
  3. Step 3: Cross multiply
    293,328x = 404,801.28 × 159,200.64
  4. Step 4: Simplify right side
    293,328x = 64,444,622,848.82
  5. Step 5: Solve for x
    x = 64,444,622,848.82/293,328
  6. Step 6: Final answer
    x = 219,701.57

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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.