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Finding the Fourth Proportional to 311,854.46, 430,358.87 and 168,614.16

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Solution

The fourth proportional to 311,854.46, 430,358.87 and 168,614.16 is: 232,687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,854.46 : 430,358.87 = 168,614.16 : x
  2. Step 2: Convert to fraction form
    311,854.46/430,358.87 = 168,614.16/x
  3. Step 3: Cross multiply
    311,854.46x = 430,358.87 × 168,614.16
  4. Step 4: Simplify right side
    311,854.46x = 72,564,598,171.29
  5. Step 5: Solve for x
    x = 72,564,598,171.29/311,854.46
  6. Step 6: Final answer
    x = 232,687.39

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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.