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Finding the Fourth Proportional to 338,898.31, 467,296.17 and 216,226.54

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Solution

The fourth proportional to 338,898.31, 467,296.17 and 216,226.54 is: 298,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,898.31 : 467,296.17 = 216,226.54 : x
  2. Step 2: Convert to fraction form
    338,898.31/467,296.17 = 216,226.54/x
  3. Step 3: Cross multiply
    338,898.31x = 467,296.17 × 216,226.54
  4. Step 4: Simplify right side
    338,898.31x = 101,041,833,994.35
  5. Step 5: Solve for x
    x = 101,041,833,994.35/338,898.31
  6. Step 6: Final answer
    x = 298,147.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.