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Finding the Fourth Proportional to 462,817.80, 694,226.70 and 284,747.40

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Solution

The fourth proportional to 462,817.80, 694,226.70 and 284,747.40 is: 427,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,817.80 : 694,226.70 = 284,747.40 : x
  2. Step 2: Convert to fraction form
    462,817.80/694,226.70 = 284,747.40/x
  3. Step 3: Cross multiply
    462,817.80x = 694,226.70 × 284,747.40
  4. Step 4: Simplify right side
    462,817.80x = 197,679,247,835.58
  5. Step 5: Solve for x
    x = 197,679,247,835.58/462,817.80
  6. Step 6: Final answer
    x = 427,121.10

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Why These Related Problems?

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