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Finding the Fourth Proportional to 315,906.94, 473,575.92 and 116,184.61

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Solution

The fourth proportional to 315,906.94, 473,575.92 and 116,184.61 is: 174,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,906.94 : 473,575.92 = 116,184.61 : x
  2. Step 2: Convert to fraction form
    315,906.94/473,575.92 = 116,184.61/x
  3. Step 3: Cross multiply
    315,906.94x = 473,575.92 × 116,184.61
  4. Step 4: Simplify right side
    315,906.94x = 55,022,233,570.59
  5. Step 5: Solve for x
    x = 55,022,233,570.59/315,906.94
  6. Step 6: Final answer
    x = 174,172.28

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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.