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Finding the Fourth Proportional to 329,681.61, 494,500.55 and 149,724.32

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Solution

The fourth proportional to 329,681.61, 494,500.55 and 149,724.32 is: 224,576.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,681.61 : 494,500.55 = 149,724.32 : x
  2. Step 2: Convert to fraction form
    329,681.61/494,500.55 = 149,724.32/x
  3. Step 3: Cross multiply
    329,681.61x = 494,500.55 × 149,724.32
  4. Step 4: Simplify right side
    329,681.61x = 74,038,755,367.25
  5. Step 5: Solve for x
    x = 74,038,755,367.25/329,681.61
  6. Step 6: Final answer
    x = 224,576.54

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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.