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Finding the Fourth Proportional to 462,847.20, 694,270.80 and 384,115.20

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Solution

The fourth proportional to 462,847.20, 694,270.80 and 384,115.20 is: 576,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,847.20 : 694,270.80 = 384,115.20 : x
  2. Step 2: Convert to fraction form
    462,847.20/694,270.80 = 384,115.20/x
  3. Step 3: Cross multiply
    462,847.20x = 694,270.80 × 384,115.20
  4. Step 4: Simplify right side
    462,847.20x = 266,679,967,196.16
  5. Step 5: Solve for x
    x = 266,679,967,196.16/462,847.20
  6. Step 6: Final answer
    x = 576,172.80

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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.