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Finding the Fourth Proportional to 314,874.30, 472,311.45 and 115,201.20

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Solution

The fourth proportional to 314,874.30, 472,311.45 and 115,201.20 is: 172,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,874.30 : 472,311.45 = 115,201.20 : x
  2. Step 2: Convert to fraction form
    314,874.30/472,311.45 = 115,201.20/x
  3. Step 3: Cross multiply
    314,874.30x = 472,311.45 × 115,201.20
  4. Step 4: Simplify right side
    314,874.30x = 54,410,845,813.74
  5. Step 5: Solve for x
    x = 54,410,845,813.74/314,874.30
  6. Step 6: Final answer
    x = 172,801.80

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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.