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Finding the Fourth Proportional to 463,601.14, 695,296.46 and 164,081.58

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Solution

The fourth proportional to 463,601.14, 695,296.46 and 164,081.58 is: 246,085.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,601.14 : 695,296.46 = 164,081.58 : x
  2. Step 2: Convert to fraction form
    463,601.14/695,296.46 = 164,081.58/x
  3. Step 3: Cross multiply
    463,601.14x = 695,296.46 × 164,081.58
  4. Step 4: Simplify right side
    463,601.14x = 114,085,339,582.85
  5. Step 5: Solve for x
    x = 114,085,339,582.85/463,601.14
  6. Step 6: Final answer
    x = 246,085.12

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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.