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Finding the Fourth Proportional to 433,729.85, 650,780.85 and 167,677.20

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Solution

The fourth proportional to 433,729.85, 650,780.85 and 167,677.20 is: 251,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,729.85 : 650,780.85 = 167,677.20 : x
  2. Step 2: Convert to fraction form
    433,729.85/650,780.85 = 167,677.20/x
  3. Step 3: Cross multiply
    433,729.85x = 650,780.85 × 167,677.20
  4. Step 4: Simplify right side
    433,729.85x = 109,121,110,741.62
  5. Step 5: Solve for x
    x = 109,121,110,741.62/433,729.85
  6. Step 6: Final answer
    x = 251,587.74

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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.