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Finding the Fourth Proportional to 296,998.46, 445,452.58 and 97,314.42

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Solution

The fourth proportional to 296,998.46, 445,452.58 and 97,314.42 is: 145,956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,998.46 : 445,452.58 = 97,314.42 : x
  2. Step 2: Convert to fraction form
    296,998.46/445,452.58 = 97,314.42/x
  3. Step 3: Cross multiply
    296,998.46x = 445,452.58 × 97,314.42
  4. Step 4: Simplify right side
    296,998.46x = 43,348,959,216.92
  5. Step 5: Solve for x
    x = 43,348,959,216.92/296,998.46
  6. Step 6: Final answer
    x = 145,956.85

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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.