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Finding the Fourth Proportional to 300,689.88, 414,962.36 and 164,723.78

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Solution

The fourth proportional to 300,689.88, 414,962.36 and 164,723.78 is: 227,324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,689.88 : 414,962.36 = 164,723.78 : x
  2. Step 2: Convert to fraction form
    300,689.88/414,962.36 = 164,723.78/x
  3. Step 3: Cross multiply
    300,689.88x = 414,962.36 × 164,723.78
  4. Step 4: Simplify right side
    300,689.88x = 68,354,168,496.92
  5. Step 5: Solve for x
    x = 68,354,168,496.92/300,689.88
  6. Step 6: Final answer
    x = 227,324.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.