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Finding the Fourth Proportional to 329,460.69, 494,252.90 and 149,558.74

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Solution

The fourth proportional to 329,460.69, 494,252.90 and 149,558.74 is: 224,366.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,460.69 : 494,252.90 = 149,558.74 : x
  2. Step 2: Convert to fraction form
    329,460.69/494,252.90 = 149,558.74/x
  3. Step 3: Cross multiply
    329,460.69x = 494,252.90 × 149,558.74
  4. Step 4: Simplify right side
    329,460.69x = 73,919,840,965.35
  5. Step 5: Solve for x
    x = 73,919,840,965.35/329,460.69
  6. Step 6: Final answer
    x = 224,366.19

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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.