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Finding the Fourth Proportional to 329,644.23, 494,527.86 and 149,742.30

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Solution

The fourth proportional to 329,644.23, 494,527.86 and 149,742.30 is: 224,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,644.23 : 494,527.86 = 149,742.30 : x
  2. Step 2: Convert to fraction form
    329,644.23/494,527.86 = 149,742.30/x
  3. Step 3: Cross multiply
    329,644.23x = 494,527.86 × 149,742.30
  4. Step 4: Simplify right side
    329,644.23x = 74,051,736,431.23
  5. Step 5: Solve for x
    x = 74,051,736,431.23/329,644.23
  6. Step 6: Final answer
    x = 224,641.38

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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.