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Finding the Fourth Proportional to 312,953.56, 431,872.11 and 169,711.94

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Solution

The fourth proportional to 312,953.56, 431,872.11 and 169,711.94 is: 234,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,953.56 : 431,872.11 = 169,711.94 : x
  2. Step 2: Convert to fraction form
    312,953.56/431,872.11 = 169,711.94/x
  3. Step 3: Cross multiply
    312,953.56x = 431,872.11 × 169,711.94
  4. Step 4: Simplify right side
    312,953.56x = 73,293,854,699.67
  5. Step 5: Solve for x
    x = 73,293,854,699.67/312,953.56
  6. Step 6: Final answer
    x = 234,200.42

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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.