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Finding the Fourth Proportional to 433,502.22, 650,440.15 and 180,832.46

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Solution

The fourth proportional to 433,502.22, 650,440.15 and 180,832.46 is: 271,326.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,502.22 : 650,440.15 = 180,832.46 : x
  2. Step 2: Convert to fraction form
    433,502.22/650,440.15 = 180,832.46/x
  3. Step 3: Cross multiply
    433,502.22x = 650,440.15 × 180,832.46
  4. Step 4: Simplify right side
    433,502.22x = 117,620,693,581.29
  5. Step 5: Solve for x
    x = 117,620,693,581.29/433,502.22
  6. Step 6: Final answer
    x = 271,326.62

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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.