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Finding the Fourth Proportional to 286,873.80, 430,164.90 and 168,581.40

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Solution

The fourth proportional to 286,873.80, 430,164.90 and 168,581.40 is: 252,786.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,873.80 : 430,164.90 = 168,581.40 : x
  2. Step 2: Convert to fraction form
    286,873.80/430,164.90 = 168,581.40/x
  3. Step 3: Cross multiply
    286,873.80x = 430,164.90 × 168,581.40
  4. Step 4: Simplify right side
    286,873.80x = 72,517,801,072.86
  5. Step 5: Solve for x
    x = 72,517,801,072.86/286,873.80
  6. Step 6: Final answer
    x = 252,786.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.