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Finding the Fourth Proportional to 297,474.48, 410,362.68 and 189,931.44

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Solution

The fourth proportional to 297,474.48, 410,362.68 and 189,931.44 is: 262,008.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,474.48 : 410,362.68 = 189,931.44 : x
  2. Step 2: Convert to fraction form
    297,474.48/410,362.68 = 189,931.44/x
  3. Step 3: Cross multiply
    297,474.48x = 410,362.68 × 189,931.44
  4. Step 4: Simplify right side
    297,474.48x = 77,940,774,734.66
  5. Step 5: Solve for x
    x = 77,940,774,734.66/297,474.48
  6. Step 6: Final answer
    x = 262,008.27

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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.