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Finding the Fourth Proportional to 468,670.20, 646,761.64 and 253,805.34

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Solution

The fourth proportional to 468,670.20, 646,761.64 and 253,805.34 is: 350,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,670.20 : 646,761.64 = 253,805.34 : x
  2. Step 2: Convert to fraction form
    468,670.20/646,761.64 = 253,805.34/x
  3. Step 3: Cross multiply
    468,670.20x = 646,761.64 × 253,805.34
  4. Step 4: Simplify right side
    468,670.20x = 164,151,557,939.16
  5. Step 5: Solve for x
    x = 164,151,557,939.16/468,670.20
  6. Step 6: Final answer
    x = 350,249.62

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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.