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Finding the Fourth Proportional to 589,562.64, 813,497.01 and 331,405.50

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Solution

The fourth proportional to 589,562.64, 813,497.01 and 331,405.50 is: 457,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,562.64 : 813,497.01 = 331,405.50 : x
  2. Step 2: Convert to fraction form
    589,562.64/813,497.01 = 331,405.50/x
  3. Step 3: Cross multiply
    589,562.64x = 813,497.01 × 331,405.50
  4. Step 4: Simplify right side
    589,562.64x = 269,597,383,347.56
  5. Step 5: Solve for x
    x = 269,597,383,347.56/589,562.64
  6. Step 6: Final answer
    x = 457,283.70

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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.