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Finding the Fourth Proportional to 428,472.88, 591,327.96 and 237,546.16

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Solution

The fourth proportional to 428,472.88, 591,327.96 and 237,546.16 is: 327,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,472.88 : 591,327.96 = 237,546.16 : x
  2. Step 2: Convert to fraction form
    428,472.88/591,327.96 = 237,546.16/x
  3. Step 3: Cross multiply
    428,472.88x = 591,327.96 × 237,546.16
  4. Step 4: Simplify right side
    428,472.88x = 140,467,686,198.63
  5. Step 5: Solve for x
    x = 140,467,686,198.63/428,472.88
  6. Step 6: Final answer
    x = 327,833.32

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1.5x scale

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.