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Finding the Fourth Proportional to 433,568.10, 650,465.55 and 167,337.30

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Solution

The fourth proportional to 433,568.10, 650,465.55 and 167,337.30 is: 251,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,568.10 : 650,465.55 = 167,337.30 : x
  2. Step 2: Convert to fraction form
    433,568.10/650,465.55 = 167,337.30/x
  3. Step 3: Cross multiply
    433,568.10x = 650,465.55 × 167,337.30
  4. Step 4: Simplify right side
    433,568.10x = 108,847,148,880.02
  5. Step 5: Solve for x
    x = 108,847,148,880.02/433,568.10
  6. Step 6: Final answer
    x = 251,049.72

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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.