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Finding the Fourth Proportional to 322,534.26, 483,903.44 and 145,056.78

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Solution

The fourth proportional to 322,534.26, 483,903.44 and 145,056.78 is: 217,631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,534.26 : 483,903.44 = 145,056.78 : x
  2. Step 2: Convert to fraction form
    322,534.26/483,903.44 = 145,056.78/x
  3. Step 3: Cross multiply
    322,534.26x = 483,903.44 × 145,056.78
  4. Step 4: Simplify right side
    322,534.26x = 70,193,474,837.32
  5. Step 5: Solve for x
    x = 70,193,474,837.32/322,534.26
  6. Step 6: Final answer
    x = 217,631.07

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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.