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Finding the Fourth Proportional to 469,023.73, 703,363.15 and 161,188.29

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Solution

The fourth proportional to 469,023.73, 703,363.15 and 161,188.29 is: 241,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,023.73 : 703,363.15 = 161,188.29 : x
  2. Step 2: Convert to fraction form
    469,023.73/703,363.15 = 161,188.29/x
  3. Step 3: Cross multiply
    469,023.73x = 703,363.15 × 161,188.29
  4. Step 4: Simplify right side
    469,023.73x = 113,373,903,397.51
  5. Step 5: Solve for x
    x = 113,373,903,397.51/469,023.73
  6. Step 6: Final answer
    x = 241,723.17

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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.