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Finding the Fourth Proportional to 293,343, 404,813.40 and 159,207

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Solution

The fourth proportional to 293,343, 404,813.40 and 159,207 is: 219,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,343 : 404,813.40 = 159,207 : x
  2. Step 2: Convert to fraction form
    293,343/404,813.40 = 159,207/x
  3. Step 3: Cross multiply
    293,343x = 404,813.40 × 159,207
  4. Step 4: Simplify right side
    293,343x = 64,449,126,973.80
  5. Step 5: Solve for x
    x = 64,449,126,973.80/293,343
  6. Step 6: Final answer
    x = 219,705.69

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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.