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Finding the Fourth Proportional to 497,693.56, 686,902.26 and 344,953.48

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Solution

The fourth proportional to 497,693.56, 686,902.26 and 344,953.48 is: 476,094.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,693.56 : 686,902.26 = 344,953.48 : x
  2. Step 2: Convert to fraction form
    497,693.56/686,902.26 = 344,953.48/x
  3. Step 3: Cross multiply
    497,693.56x = 686,902.26 × 344,953.48
  4. Step 4: Simplify right side
    497,693.56x = 236,949,325,006.87
  5. Step 5: Solve for x
    x = 236,949,325,006.87/497,693.56
  6. Step 6: Final answer
    x = 476,094.82

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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.