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Finding the Fourth Proportional to 361,497.08, 542,252.82 and 254,443.16

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Solution

The fourth proportional to 361,497.08, 542,252.82 and 254,443.16 is: 381,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,497.08 : 542,252.82 = 254,443.16 : x
  2. Step 2: Convert to fraction form
    361,497.08/542,252.82 = 254,443.16/x
  3. Step 3: Cross multiply
    361,497.08x = 542,252.82 × 254,443.16
  4. Step 4: Simplify right side
    361,497.08x = 137,972,521,039.71
  5. Step 5: Solve for x
    x = 137,972,521,039.71/361,497.08
  6. Step 6: Final answer
    x = 381,669.81

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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.