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Finding the Fourth Proportional to 229,460.52, 316,528.02 and 213,223.44

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Solution

The fourth proportional to 229,460.52, 316,528.02 and 213,223.44 is: 294,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,460.52 : 316,528.02 = 213,223.44 : x
  2. Step 2: Convert to fraction form
    229,460.52/316,528.02 = 213,223.44/x
  3. Step 3: Cross multiply
    229,460.52x = 316,528.02 × 213,223.44
  4. Step 4: Simplify right side
    229,460.52x = 67,491,193,280.79
  5. Step 5: Solve for x
    x = 67,491,193,280.79/229,460.52
  6. Step 6: Final answer
    x = 294,129.87

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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.