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Finding the Fourth Proportional to 650,228.40, 897,294.36 and 363,742.32

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Solution

The fourth proportional to 650,228.40, 897,294.36 and 363,742.32 is: 501,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,228.40 : 897,294.36 = 363,742.32 : x
  2. Step 2: Convert to fraction form
    650,228.40/897,294.36 = 363,742.32/x
  3. Step 3: Cross multiply
    650,228.40x = 897,294.36 × 363,742.32
  4. Step 4: Simplify right side
    650,228.40x = 326,383,932,229.32
  5. Step 5: Solve for x
    x = 326,383,932,229.32/650,228.40
  6. Step 6: Final answer
    x = 501,952.75

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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.