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Finding the Fourth Proportional to 564,793.60, 847,190.40 and 284,857.60

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Solution

The fourth proportional to 564,793.60, 847,190.40 and 284,857.60 is: 427,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,793.60 : 847,190.40 = 284,857.60 : x
  2. Step 2: Convert to fraction form
    564,793.60/847,190.40 = 284,857.60/x
  3. Step 3: Cross multiply
    564,793.60x = 847,190.40 × 284,857.60
  4. Step 4: Simplify right side
    564,793.60x = 241,328,624,087.04
  5. Step 5: Solve for x
    x = 241,328,624,087.04/564,793.60
  6. Step 6: Final answer
    x = 427,286.40

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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.