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Finding the Fourth Proportional to 428,141.25, 590,834.97 and 237,167.01

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Solution

The fourth proportional to 428,141.25, 590,834.97 and 237,167.01 is: 327,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,141.25 : 590,834.97 = 237,167.01 : x
  2. Step 2: Convert to fraction form
    428,141.25/590,834.97 = 237,167.01/x
  3. Step 3: Cross multiply
    428,141.25x = 590,834.97 × 237,167.01
  4. Step 4: Simplify right side
    428,141.25x = 140,126,563,238.34
  5. Step 5: Solve for x
    x = 140,126,563,238.34/428,141.25
  6. Step 6: Final answer
    x = 327,290.50

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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.