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Finding the Fourth Proportional to 296,898.48, 409,720.41 and 160,932.42

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Solution

The fourth proportional to 296,898.48, 409,720.41 and 160,932.42 is: 222,087.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,898.48 : 409,720.41 = 160,932.42 : x
  2. Step 2: Convert to fraction form
    296,898.48/409,720.41 = 160,932.42/x
  3. Step 3: Cross multiply
    296,898.48x = 409,720.41 × 160,932.42
  4. Step 4: Simplify right side
    296,898.48x = 65,937,297,104.69
  5. Step 5: Solve for x
    x = 65,937,297,104.69/296,898.48
  6. Step 6: Final answer
    x = 222,087.01

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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.