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Finding the Fourth Proportional to 252,115.46, 347,809.11 and 180,469.34

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Solution

The fourth proportional to 252,115.46, 347,809.11 and 180,469.34 is: 248,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,115.46 : 347,809.11 = 180,469.34 : x
  2. Step 2: Convert to fraction form
    252,115.46/347,809.11 = 180,469.34/x
  3. Step 3: Cross multiply
    252,115.46x = 347,809.11 × 180,469.34
  4. Step 4: Simplify right side
    252,115.46x = 62,768,880,527.69
  5. Step 5: Solve for x
    x = 62,768,880,527.69/252,115.46
  6. Step 6: Final answer
    x = 248,968.79

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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.