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Finding the Fourth Proportional to 313,937.64, 433,231.74 and 170,697.78

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Solution

The fourth proportional to 313,937.64, 433,231.74 and 170,697.78 is: 235,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,937.64 : 433,231.74 = 170,697.78 : x
  2. Step 2: Convert to fraction form
    313,937.64/433,231.74 = 170,697.78/x
  3. Step 3: Cross multiply
    313,937.64x = 433,231.74 × 170,697.78
  4. Step 4: Simplify right side
    313,937.64x = 73,951,696,243.54
  5. Step 5: Solve for x
    x = 73,951,696,243.54/313,937.64
  6. Step 6: Final answer
    x = 235,561.74

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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.