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Finding the Fourth Proportional to 428,256.38, 590,968.10 and 237,255.96

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Solution

The fourth proportional to 428,256.38, 590,968.10 and 237,255.96 is: 327,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,256.38 : 590,968.10 = 237,255.96 : x
  2. Step 2: Convert to fraction form
    428,256.38/590,968.10 = 237,255.96/x
  3. Step 3: Cross multiply
    428,256.38x = 590,968.10 × 237,255.96
  4. Step 4: Simplify right side
    428,256.38x = 140,210,703,894.88
  5. Step 5: Solve for x
    x = 140,210,703,894.88/428,256.38
  6. Step 6: Final answer
    x = 327,398.98

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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.