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Finding the Fourth Proportional to 329,674.56, 494,484.50 and 105,025.92

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Solution

The fourth proportional to 329,674.56, 494,484.50 and 105,025.92 is: 157,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,674.56 : 494,484.50 = 105,025.92 : x
  2. Step 2: Convert to fraction form
    329,674.56/494,484.50 = 105,025.92/x
  3. Step 3: Cross multiply
    329,674.56x = 494,484.50 × 105,025.92
  4. Step 4: Simplify right side
    329,674.56x = 51,933,689,013.11
  5. Step 5: Solve for x
    x = 51,933,689,013.11/329,674.56
  6. Step 6: Final answer
    x = 157,530.17

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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.