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Finding the Fourth Proportional to 307,103.81, 460,437.48 and 117,404.24

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Solution

The fourth proportional to 307,103.81, 460,437.48 and 117,404.24 is: 176,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,103.81 : 460,437.48 = 117,404.24 : x
  2. Step 2: Convert to fraction form
    307,103.81/460,437.48 = 117,404.24/x
  3. Step 3: Cross multiply
    307,103.81x = 460,437.48 × 117,404.24
  4. Step 4: Simplify right side
    307,103.81x = 54,057,310,104.73
  5. Step 5: Solve for x
    x = 54,057,310,104.73/307,103.81
  6. Step 6: Final answer
    x = 176,022.93

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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.