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Finding the Fourth Proportional to 312,160.32, 430,706.24 and 189,650.24

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Solution

The fourth proportional to 312,160.32, 430,706.24 and 189,650.24 is: 261,671.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,160.32 : 430,706.24 = 189,650.24 : x
  2. Step 2: Convert to fraction form
    312,160.32/430,706.24 = 189,650.24/x
  3. Step 3: Cross multiply
    312,160.32x = 430,706.24 × 189,650.24
  4. Step 4: Simplify right side
    312,160.32x = 81,683,541,785.50
  5. Step 5: Solve for x
    x = 81,683,541,785.50/312,160.32
  6. Step 6: Final answer
    x = 261,671.76

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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.