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Finding the Fourth Proportional to 442,093.16, 610,093.14 and 240,889.16

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Solution

The fourth proportional to 442,093.16, 610,093.14 and 240,889.16 is: 332,429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,093.16 : 610,093.14 = 240,889.16 : x
  2. Step 2: Convert to fraction form
    442,093.16/610,093.14 = 240,889.16/x
  3. Step 3: Cross multiply
    442,093.16x = 610,093.14 × 240,889.16
  4. Step 4: Simplify right side
    442,093.16x = 146,964,824,016.36
  5. Step 5: Solve for x
    x = 146,964,824,016.36/442,093.16
  6. Step 6: Final answer
    x = 332,429.54

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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.