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Finding the Fourth Proportional to 331,272.40, 496,908.60 and 314,165.20

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Solution

The fourth proportional to 331,272.40, 496,908.60 and 314,165.20 is: 471,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,272.40 : 496,908.60 = 314,165.20 : x
  2. Step 2: Convert to fraction form
    331,272.40/496,908.60 = 314,165.20/x
  3. Step 3: Cross multiply
    331,272.40x = 496,908.60 × 314,165.20
  4. Step 4: Simplify right side
    331,272.40x = 156,111,389,700.72
  5. Step 5: Solve for x
    x = 156,111,389,700.72/331,272.40
  6. Step 6: Final answer
    x = 471,247.80

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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.