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Finding the Fourth Proportional to 541,806.70, 811,932.45 and 398,533.90

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Solution

The fourth proportional to 541,806.70, 811,932.45 and 398,533.90 is: 597,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,806.70 : 811,932.45 = 398,533.90 : x
  2. Step 2: Convert to fraction form
    541,806.70/811,932.45 = 398,533.90/x
  3. Step 3: Cross multiply
    541,806.70x = 811,932.45 × 398,533.90
  4. Step 4: Simplify right side
    541,806.70x = 323,582,605,835.06
  5. Step 5: Solve for x
    x = 323,582,605,835.06/541,806.70
  6. Step 6: Final answer
    x = 597,228.87

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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.