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Finding the Fourth Proportional to 428,196.88, 590,916.76 and 237,214

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Solution

The fourth proportional to 428,196.88, 590,916.76 and 237,214 is: 327,358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,196.88 : 590,916.76 = 237,214 : x
  2. Step 2: Convert to fraction form
    428,196.88/590,916.76 = 237,214/x
  3. Step 3: Cross multiply
    428,196.88x = 590,916.76 × 237,214
  4. Step 4: Simplify right side
    428,196.88x = 140,173,728,306.64
  5. Step 5: Solve for x
    x = 140,173,728,306.64/428,196.88
  6. Step 6: Final answer
    x = 327,358.13

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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.