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Finding the Fourth Proportional to 293,288.95, 404,738.74 and 159,152.95

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Solution

The fourth proportional to 293,288.95, 404,738.74 and 159,152.95 is: 219,631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,288.95 : 404,738.74 = 159,152.95 : x
  2. Step 2: Convert to fraction form
    293,288.95/404,738.74 = 159,152.95/x
  3. Step 3: Cross multiply
    293,288.95x = 404,738.74 × 159,152.95
  4. Step 4: Simplify right side
    293,288.95x = 64,415,361,630.82
  5. Step 5: Solve for x
    x = 64,415,361,630.82/293,288.95
  6. Step 6: Final answer
    x = 219,631.06

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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.