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Finding the Fourth Proportional to 337,102.71, 505,078.46 and 185,426.69

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Solution

The fourth proportional to 337,102.71, 505,078.46 and 185,426.69 is: 277,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,102.71 : 505,078.46 = 185,426.69 : x
  2. Step 2: Convert to fraction form
    337,102.71/505,078.46 = 185,426.69/x
  3. Step 3: Cross multiply
    337,102.71x = 505,078.46 × 185,426.69
  4. Step 4: Simplify right side
    337,102.71x = 93,655,023,575.57
  5. Step 5: Solve for x
    x = 93,655,023,575.57/337,102.71
  6. Step 6: Final answer
    x = 277,823.41

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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.