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Finding the Fourth Proportional to 329,462.48, 494,006.45 and 129,674.57

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Solution

The fourth proportional to 329,462.48, 494,006.45 and 129,674.57 is: 194,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,462.48 : 494,006.45 = 129,674.57 : x
  2. Step 2: Convert to fraction form
    329,462.48/494,006.45 = 129,674.57/x
  3. Step 3: Cross multiply
    329,462.48x = 494,006.45 × 129,674.57
  4. Step 4: Simplify right side
    329,462.48x = 64,060,071,835.13
  5. Step 5: Solve for x
    x = 64,060,071,835.13/329,462.48
  6. Step 6: Final answer
    x = 194,438.14

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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.