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Finding the Fourth Proportional to 311,873.57, 430,385.78 and 168,633.71

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Solution

The fourth proportional to 311,873.57, 430,385.78 and 168,633.71 is: 232,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,873.57 : 430,385.78 = 168,633.71 : x
  2. Step 2: Convert to fraction form
    311,873.57/430,385.78 = 168,633.71/x
  3. Step 3: Cross multiply
    311,873.57x = 430,385.78 × 168,633.71
  4. Step 4: Simplify right side
    311,873.57x = 72,577,550,812.64
  5. Step 5: Solve for x
    x = 72,577,550,812.64/311,873.57
  6. Step 6: Final answer
    x = 232,714.66

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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.