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Finding the Fourth Proportional to 428,216.48, 590,938.32 and 237,241.76

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Solution

The fourth proportional to 428,216.48, 590,938.32 and 237,241.76 is: 327,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,216.48 : 590,938.32 = 237,241.76 : x
  2. Step 2: Convert to fraction form
    428,216.48/590,938.32 = 237,241.76/x
  3. Step 3: Cross multiply
    428,216.48x = 590,938.32 × 237,241.76
  4. Step 4: Simplify right side
    428,216.48x = 140,195,247,088.24
  5. Step 5: Solve for x
    x = 140,195,247,088.24/428,216.48
  6. Step 6: Final answer
    x = 327,393.39

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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.