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Finding the Fourth Proportional to 309,077.56, 463,915.26 and 149,265.52

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Solution

The fourth proportional to 309,077.56, 463,915.26 and 149,265.52 is: 224,042.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,077.56 : 463,915.26 = 149,265.52 : x
  2. Step 2: Convert to fraction form
    309,077.56/463,915.26 = 149,265.52/x
  3. Step 3: Cross multiply
    309,077.56x = 463,915.26 × 149,265.52
  4. Step 4: Simplify right side
    309,077.56x = 69,246,552,519.84
  5. Step 5: Solve for x
    x = 69,246,552,519.84/309,077.56
  6. Step 6: Final answer
    x = 224,042.64

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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.