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Finding the Fourth Proportional to 293,352, 404,826.84 and 159,216

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Solution

The fourth proportional to 293,352, 404,826.84 and 159,216 is: 219,718.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,352 : 404,826.84 = 159,216 : x
  2. Step 2: Convert to fraction form
    293,352/404,826.84 = 159,216/x
  3. Step 3: Cross multiply
    293,352x = 404,826.84 × 159,216
  4. Step 4: Simplify right side
    293,352x = 64,454,910,157.44
  5. Step 5: Solve for x
    x = 64,454,910,157.44/293,352
  6. Step 6: Final answer
    x = 219,718.67

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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.