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Finding the Fourth Proportional to 469,023.66, 703,634.85 and 180,842.67

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Solution

The fourth proportional to 469,023.66, 703,634.85 and 180,842.67 is: 271,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,023.66 : 703,634.85 = 180,842.67 : x
  2. Step 2: Convert to fraction form
    469,023.66/703,634.85 = 180,842.67/x
  3. Step 3: Cross multiply
    469,023.66x = 703,634.85 × 180,842.67
  4. Step 4: Simplify right side
    469,023.66x = 127,247,204,979.05
  5. Step 5: Solve for x
    x = 127,247,204,979.05/469,023.66
  6. Step 6: Final answer
    x = 271,302.32

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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.