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Finding the Fourth Proportional to 428,052.36, 590,712 and 237,065.56

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Solution

The fourth proportional to 428,052.36, 590,712 and 237,065.56 is: 327,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,052.36 : 590,712 = 237,065.56 : x
  2. Step 2: Convert to fraction form
    428,052.36/590,712 = 237,065.56/x
  3. Step 3: Cross multiply
    428,052.36x = 590,712 × 237,065.56
  4. Step 4: Simplify right side
    428,052.36x = 140,037,471,078.72
  5. Step 5: Solve for x
    x = 140,037,471,078.72/428,052.36
  6. Step 6: Final answer
    x = 327,150.33

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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.