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Finding the Fourth Proportional to 331,818.40, 497,727.60 and 213,623.20

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Solution

The fourth proportional to 331,818.40, 497,727.60 and 213,623.20 is: 320,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,818.40 : 497,727.60 = 213,623.20 : x
  2. Step 2: Convert to fraction form
    331,818.40/497,727.60 = 213,623.20/x
  3. Step 3: Cross multiply
    331,818.40x = 497,727.60 × 213,623.20
  4. Step 4: Simplify right side
    331,818.40x = 106,326,162,640.32
  5. Step 5: Solve for x
    x = 106,326,162,640.32/331,818.40
  6. Step 6: Final answer
    x = 320,434.80

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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.