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Finding the Fourth Proportional to 635,286.34, 952,955.48 and 161,984.00

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Solution

The fourth proportional to 635,286.34, 952,955.48 and 161,984.00 is: 242,982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,286.34 : 952,955.48 = 161,984.00 : x
  2. Step 2: Convert to fraction form
    635,286.34/952,955.48 = 161,984.00/x
  3. Step 3: Cross multiply
    635,286.34x = 952,955.48 × 161,984.00
  4. Step 4: Simplify right side
    635,286.34x = 154,363,543,259.67
  5. Step 5: Solve for x
    x = 154,363,543,259.67/635,286.34
  6. Step 6: Final answer
    x = 242,982.63

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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.