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Finding the Fourth Proportional to 650,438.28, 975,657.42 and 428,770.44

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Solution

The fourth proportional to 650,438.28, 975,657.42 and 428,770.44 is: 643,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,438.28 : 975,657.42 = 428,770.44 : x
  2. Step 2: Convert to fraction form
    650,438.28/975,657.42 = 428,770.44/x
  3. Step 3: Cross multiply
    650,438.28x = 975,657.42 × 428,770.44
  4. Step 4: Simplify right side
    650,438.28x = 418,333,061,262.67
  5. Step 5: Solve for x
    x = 418,333,061,262.67/650,438.28
  6. Step 6: Final answer
    x = 643,155.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.