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Finding the Fourth Proportional to 329,142.16, 493,713.24 and 79,822

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Solution

The fourth proportional to 329,142.16, 493,713.24 and 79,822 is: 119,733

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,142.16 : 493,713.24 = 79,822 : x
  2. Step 2: Convert to fraction form
    329,142.16/493,713.24 = 79,822/x
  3. Step 3: Cross multiply
    329,142.16x = 493,713.24 × 79,822
  4. Step 4: Simplify right side
    329,142.16x = 39,409,178,243.28
  5. Step 5: Solve for x
    x = 39,409,178,243.28/329,142.16
  6. Step 6: Final answer
    x = 119,733

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.