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Finding the Fourth Proportional to 293,733, 405,352.62 and 159,597

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Solution

The fourth proportional to 293,733, 405,352.62 and 159,597 is: 220,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,733 : 405,352.62 = 159,597 : x
  2. Step 2: Convert to fraction form
    293,733/405,352.62 = 159,597/x
  3. Step 3: Cross multiply
    293,733x = 405,352.62 × 159,597
  4. Step 4: Simplify right side
    293,733x = 64,693,062,094.14
  5. Step 5: Solve for x
    x = 64,693,062,094.14/293,733
  6. Step 6: Final answer
    x = 220,244.45

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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.