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Finding the Fourth Proportional to 354,113.68, 531,327.30 and 185,593.84

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Solution

The fourth proportional to 354,113.68, 531,327.30 and 185,593.84 is: 278,472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,113.68 : 531,327.30 = 185,593.84 : x
  2. Step 2: Convert to fraction form
    354,113.68/531,327.30 = 185,593.84/x
  3. Step 3: Cross multiply
    354,113.68x = 531,327.30 × 185,593.84
  4. Step 4: Simplify right side
    354,113.68x = 98,611,073,903.83
  5. Step 5: Solve for x
    x = 98,611,073,903.83/354,113.68
  6. Step 6: Final answer
    x = 278,472.93

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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.