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Finding the Fourth Proportional to 331,833.60, 497,750.40 and 199,123.20

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Solution

The fourth proportional to 331,833.60, 497,750.40 and 199,123.20 is: 298,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,833.60 : 497,750.40 = 199,123.20 : x
  2. Step 2: Convert to fraction form
    331,833.60/497,750.40 = 199,123.20/x
  3. Step 3: Cross multiply
    331,833.60x = 497,750.40 × 199,123.20
  4. Step 4: Simplify right side
    331,833.60x = 99,113,652,449.28
  5. Step 5: Solve for x
    x = 99,113,652,449.28/331,833.60
  6. Step 6: Final answer
    x = 298,684.80

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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.