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Finding the Fourth Proportional to 293,335, 404,802.30 and 159,199

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Solution

The fourth proportional to 293,335, 404,802.30 and 159,199 is: 219,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,335 : 404,802.30 = 159,199 : x
  2. Step 2: Convert to fraction form
    293,335/404,802.30 = 159,199/x
  3. Step 3: Cross multiply
    293,335x = 404,802.30 × 159,199
  4. Step 4: Simplify right side
    293,335x = 64,444,121,357.70
  5. Step 5: Solve for x
    x = 64,444,121,357.70/293,335
  6. Step 6: Final answer
    x = 219,694.62

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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.