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Finding the Fourth Proportional to 307,305.83, 460,986.08 and 117,758.54

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Solution

The fourth proportional to 307,305.83, 460,986.08 and 117,758.54 is: 176,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,305.83 : 460,986.08 = 117,758.54 : x
  2. Step 2: Convert to fraction form
    307,305.83/460,986.08 = 117,758.54/x
  3. Step 3: Cross multiply
    307,305.83x = 460,986.08 × 117,758.54
  4. Step 4: Simplify right side
    307,305.83x = 54,285,044,847.40
  5. Step 5: Solve for x
    x = 54,285,044,847.40/307,305.83
  6. Step 6: Final answer
    x = 176,648.28

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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.