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Finding the Fourth Proportional to 384,100.60, 576,150.90 and 314,116.60

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Solution

The fourth proportional to 384,100.60, 576,150.90 and 314,116.60 is: 471,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,100.60 : 576,150.90 = 314,116.60 : x
  2. Step 2: Convert to fraction form
    384,100.60/576,150.90 = 314,116.60/x
  3. Step 3: Cross multiply
    384,100.60x = 576,150.90 × 314,116.60
  4. Step 4: Simplify right side
    384,100.60x = 180,978,561,794.94
  5. Step 5: Solve for x
    x = 180,978,561,794.94/384,100.60
  6. Step 6: Final answer
    x = 471,174.90

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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.