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Finding the Fourth Proportional to 401,968.80, 603,644.40 and 284,464.80

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Solution

The fourth proportional to 401,968.80, 603,644.40 and 284,464.80 is: 427,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,968.80 : 603,644.40 = 284,464.80 : x
  2. Step 2: Convert to fraction form
    401,968.80/603,644.40 = 284,464.80/x
  3. Step 3: Cross multiply
    401,968.80x = 603,644.40 × 284,464.80
  4. Step 4: Simplify right side
    401,968.80x = 171,715,583,517.12
  5. Step 5: Solve for x
    x = 171,715,583,517.12/401,968.80
  6. Step 6: Final answer
    x = 427,186.35

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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.