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Finding the Fourth Proportional to 314,768.76, 434,380.92 and 171,528.78

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Solution

The fourth proportional to 314,768.76, 434,380.92 and 171,528.78 is: 236,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,768.76 : 434,380.92 = 171,528.78 : x
  2. Step 2: Convert to fraction form
    314,768.76/434,380.92 = 171,528.78/x
  3. Step 3: Cross multiply
    314,768.76x = 434,380.92 × 171,528.78
  4. Step 4: Simplify right side
    314,768.76x = 74,508,829,262.88
  5. Step 5: Solve for x
    x = 74,508,829,262.88/314,768.76
  6. Step 6: Final answer
    x = 236,709.73

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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.