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Finding the Fourth Proportional to 333,381, 460,065.78 and 182,478

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Solution

The fourth proportional to 333,381, 460,065.78 and 182,478 is: 251,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,381 : 460,065.78 = 182,478 : x
  2. Step 2: Convert to fraction form
    333,381/460,065.78 = 182,478/x
  3. Step 3: Cross multiply
    333,381x = 460,065.78 × 182,478
  4. Step 4: Simplify right side
    333,381x = 83,951,883,402.84
  5. Step 5: Solve for x
    x = 83,951,883,402.84/333,381
  6. Step 6: Final answer
    x = 251,819.64

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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.