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Finding the Fourth Proportional to 307,379.88, 461,053.08 and 117,931.14

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Solution

The fourth proportional to 307,379.88, 461,053.08 and 117,931.14 is: 176,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,379.88 : 461,053.08 = 117,931.14 : x
  2. Step 2: Convert to fraction form
    307,379.88/461,053.08 = 117,931.14/x
  3. Step 3: Cross multiply
    307,379.88x = 461,053.08 × 117,931.14
  4. Step 4: Simplify right side
    307,379.88x = 54,372,515,324.91
  5. Step 5: Solve for x
    x = 54,372,515,324.91/307,379.88
  6. Step 6: Final answer
    x = 176,890.29

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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.