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Finding the Fourth Proportional to 589,543.88, 813,469.19 and 331,385.01

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Solution

The fourth proportional to 589,543.88, 813,469.19 and 331,385.01 is: 457,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,543.88 : 813,469.19 = 331,385.01 : x
  2. Step 2: Convert to fraction form
    589,543.88/813,469.19 = 331,385.01/x
  3. Step 3: Cross multiply
    589,543.88x = 813,469.19 × 331,385.01
  4. Step 4: Simplify right side
    589,543.88x = 269,571,494,005.92
  5. Step 5: Solve for x
    x = 269,571,494,005.92/589,543.88
  6. Step 6: Final answer
    x = 457,254.33

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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.