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Finding the Fourth Proportional to 650,676.31, 897,932.99 and 364,196.32

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Solution

The fourth proportional to 650,676.31, 897,932.99 and 364,196.32 is: 502,590.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,676.31 : 897,932.99 = 364,196.32 : x
  2. Step 2: Convert to fraction form
    650,676.31/897,932.99 = 364,196.32/x
  3. Step 3: Cross multiply
    650,676.31x = 897,932.99 × 364,196.32
  4. Step 4: Simplify right side
    650,676.31x = 327,023,889,230.26
  5. Step 5: Solve for x
    x = 327,023,889,230.26/650,676.31
  6. Step 6: Final answer
    x = 502,590.74

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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.