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Finding the Fourth Proportional to 307,333.81, 460,737.76 and 117,930.09

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Solution

The fourth proportional to 307,333.81, 460,737.76 and 117,930.09 is: 176,794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,333.81 : 460,737.76 = 117,930.09 : x
  2. Step 2: Convert to fraction form
    307,333.81/460,737.76 = 117,930.09/x
  3. Step 3: Cross multiply
    307,333.81x = 460,737.76 × 117,930.09
  4. Step 4: Simplify right side
    307,333.81x = 54,334,845,047.68
  5. Step 5: Solve for x
    x = 54,334,845,047.68/307,333.81
  6. Step 6: Final answer
    x = 176,794.23

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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.