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Finding the Fourth Proportional to 331,534.91, 497,305.85 and 265,395.48

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Solution

The fourth proportional to 331,534.91, 497,305.85 and 265,395.48 is: 398,096.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,534.91 : 497,305.85 = 265,395.48 : x
  2. Step 2: Convert to fraction form
    331,534.91/497,305.85 = 265,395.48/x
  3. Step 3: Cross multiply
    331,534.91x = 497,305.85 × 265,395.48
  4. Step 4: Simplify right side
    331,534.91x = 131,982,723,440.58
  5. Step 5: Solve for x
    x = 131,982,723,440.58/331,534.91
  6. Step 6: Final answer
    x = 398,096.01

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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.