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Finding the Fourth Proportional to 354,078.15, 531,274.23 and 185,558.41

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Solution

The fourth proportional to 354,078.15, 531,274.23 and 185,558.41 is: 278,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,078.15 : 531,274.23 = 185,558.41 : x
  2. Step 2: Convert to fraction form
    354,078.15/531,274.23 = 185,558.41/x
  3. Step 3: Cross multiply
    354,078.15x = 531,274.23 × 185,558.41
  4. Step 4: Simplify right side
    354,078.15x = 98,582,401,392.77
  5. Step 5: Solve for x
    x = 98,582,401,392.77/354,078.15
  6. Step 6: Final answer
    x = 278,419.90

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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.