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Finding the Fourth Proportional to 354,184.56, 531,433.86 and 185,664.66

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Solution

The fourth proportional to 354,184.56, 531,433.86 and 185,664.66 is: 278,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,184.56 : 531,433.86 = 185,664.66 : x
  2. Step 2: Convert to fraction form
    354,184.56/531,433.86 = 185,664.66/x
  3. Step 3: Cross multiply
    354,184.56x = 531,433.86 × 185,664.66
  4. Step 4: Simplify right side
    354,184.56x = 98,668,486,929.39
  5. Step 5: Solve for x
    x = 98,668,486,929.39/354,184.56
  6. Step 6: Final answer
    x = 278,579.30

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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.