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Finding the Fourth Proportional to 428,808.20, 643,243.26 and 113,261

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Solution

The fourth proportional to 428,808.20, 643,243.26 and 113,261 is: 169,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,808.20 : 643,243.26 = 113,261 : x
  2. Step 2: Convert to fraction form
    428,808.20/643,243.26 = 113,261/x
  3. Step 3: Cross multiply
    428,808.20x = 643,243.26 × 113,261
  4. Step 4: Simplify right side
    428,808.20x = 72,854,374,870.86
  5. Step 5: Solve for x
    x = 72,854,374,870.86/428,808.20
  6. Step 6: Final answer
    x = 169,899.68

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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.