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Finding the Fourth Proportional to 433,821.30, 650,537.55 and 167,493.30

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Solution

The fourth proportional to 433,821.30, 650,537.55 and 167,493.30 is: 251,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,821.30 : 650,537.55 = 167,493.30 : x
  2. Step 2: Convert to fraction form
    433,821.30/650,537.55 = 167,493.30/x
  3. Step 3: Cross multiply
    433,821.30x = 650,537.55 × 167,493.30
  4. Step 4: Simplify right side
    433,821.30x = 108,960,681,023.42
  5. Step 5: Solve for x
    x = 108,960,681,023.42/433,821.30
  6. Step 6: Final answer
    x = 251,164.89

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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.