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Finding the Fourth Proportional to 302,062.62, 416,429.42 and 241,016.16

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Solution

The fourth proportional to 302,062.62, 416,429.42 and 241,016.16 is: 332,269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,062.62 : 416,429.42 = 241,016.16 : x
  2. Step 2: Convert to fraction form
    302,062.62/416,429.42 = 241,016.16/x
  3. Step 3: Cross multiply
    302,062.62x = 416,429.42 × 241,016.16
  4. Step 4: Simplify right side
    302,062.62x = 100,366,219,719.43
  5. Step 5: Solve for x
    x = 100,366,219,719.43/302,062.62
  6. Step 6: Final answer
    x = 332,269.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.