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Finding the Fourth Proportional to 305,906.59, 458,871.40 and 116,331.62

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Solution

The fourth proportional to 305,906.59, 458,871.40 and 116,331.62 is: 174,501.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,906.59 : 458,871.40 = 116,331.62 : x
  2. Step 2: Convert to fraction form
    305,906.59/458,871.40 = 116,331.62/x
  3. Step 3: Cross multiply
    305,906.59x = 458,871.40 × 116,331.62
  4. Step 4: Simplify right side
    305,906.59x = 53,381,252,802.48
  5. Step 5: Solve for x
    x = 53,381,252,802.48/305,906.59
  6. Step 6: Final answer
    x = 174,501.81

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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.