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Finding the Fourth Proportional to 331,674.60, 497,717.10 and 174,016.20

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Solution

The fourth proportional to 331,674.60, 497,717.10 and 174,016.20 is: 261,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,674.60 : 497,717.10 = 174,016.20 : x
  2. Step 2: Convert to fraction form
    331,674.60/497,717.10 = 174,016.20/x
  3. Step 3: Cross multiply
    331,674.60x = 497,717.10 × 174,016.20
  4. Step 4: Simplify right side
    331,674.60x = 86,610,838,417.02
  5. Step 5: Solve for x
    x = 86,610,838,417.02/331,674.60
  6. Step 6: Final answer
    x = 261,131.96

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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.