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Finding the Fourth Proportional to 300,534.50, 414,738.24 and 162,714.80

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Solution

The fourth proportional to 300,534.50, 414,738.24 and 162,714.80 is: 224,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,534.50 : 414,738.24 = 162,714.80 : x
  2. Step 2: Convert to fraction form
    300,534.50/414,738.24 = 162,714.80/x
  3. Step 3: Cross multiply
    300,534.50x = 414,738.24 × 162,714.80
  4. Step 4: Simplify right side
    300,534.50x = 67,484,049,773.95
  5. Step 5: Solve for x
    x = 67,484,049,773.95/300,534.50
  6. Step 6: Final answer
    x = 224,546.77

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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.