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Finding the Fourth Proportional to 585,663.46, 878,180.00 and 315,936.41

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Solution

The fourth proportional to 585,663.46, 878,180.00 and 315,936.41 is: 473,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,663.46 : 878,180.00 = 315,936.41 : x
  2. Step 2: Convert to fraction form
    585,663.46/878,180.00 = 315,936.41/x
  3. Step 3: Cross multiply
    585,663.46x = 878,180.00 × 315,936.41
  4. Step 4: Simplify right side
    585,663.46x = 277,449,037,939.41
  5. Step 5: Solve for x
    x = 277,449,037,939.41/585,663.46
  6. Step 6: Final answer
    x = 473,734.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.