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Finding the Fourth Proportional to 589,585.58, 813,656.94 and 331,543.73

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Solution

The fourth proportional to 589,585.58, 813,656.94 and 331,543.73 is: 457,546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,585.58 : 813,656.94 = 331,543.73 : x
  2. Step 2: Convert to fraction form
    589,585.58/813,656.94 = 331,543.73/x
  3. Step 3: Cross multiply
    589,585.58x = 813,656.94 × 331,543.73
  4. Step 4: Simplify right side
    589,585.58x = 269,762,856,827.99
  5. Step 5: Solve for x
    x = 269,762,856,827.99/589,585.58
  6. Step 6: Final answer
    x = 457,546.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.