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Finding the Fourth Proportional to 331,637.80, 497,456.70 and 311,954.80

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Solution

The fourth proportional to 331,637.80, 497,456.70 and 311,954.80 is: 467,932.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,637.80 : 497,456.70 = 311,954.80 : x
  2. Step 2: Convert to fraction form
    331,637.80/497,456.70 = 311,954.80/x
  3. Step 3: Cross multiply
    331,637.80x = 497,456.70 × 311,954.80
  4. Step 4: Simplify right side
    331,637.80x = 155,184,005,357.16
  5. Step 5: Solve for x
    x = 155,184,005,357.16/331,637.80
  6. Step 6: Final answer
    x = 467,932.20

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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.