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Finding the Fourth Proportional to 312,170.41, 430,748.81 and 189,599

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Solution

The fourth proportional to 312,170.41, 430,748.81 and 189,599 is: 261,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,170.41 : 430,748.81 = 189,599 : x
  2. Step 2: Convert to fraction form
    312,170.41/430,748.81 = 189,599/x
  3. Step 3: Cross multiply
    312,170.41x = 430,748.81 × 189,599
  4. Step 4: Simplify right side
    312,170.41x = 81,669,543,627.19
  5. Step 5: Solve for x
    x = 81,669,543,627.19/312,170.41
  6. Step 6: Final answer
    x = 261,618.47

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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.