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Finding the Fourth Proportional to 293,409, 404,909.30 and 159,273

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Solution

The fourth proportional to 293,409, 404,909.30 and 159,273 is: 219,799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,409 : 404,909.30 = 159,273 : x
  2. Step 2: Convert to fraction form
    293,409/404,909.30 = 159,273/x
  3. Step 3: Cross multiply
    293,409x = 404,909.30 × 159,273
  4. Step 4: Simplify right side
    293,409x = 64,491,118,938.90
  5. Step 5: Solve for x
    x = 64,491,118,938.90/293,409
  6. Step 6: Final answer
    x = 219,799.39

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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.