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Finding the Fourth Proportional to 252,071.88, 347,591.70 and 226,683.24

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Solution

The fourth proportional to 252,071.88, 347,591.70 and 226,683.24 is: 312,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,071.88 : 347,591.70 = 226,683.24 : x
  2. Step 2: Convert to fraction form
    252,071.88/347,591.70 = 226,683.24/x
  3. Step 3: Cross multiply
    252,071.88x = 347,591.70 × 226,683.24
  4. Step 4: Simplify right side
    252,071.88x = 78,793,212,753.11
  5. Step 5: Solve for x
    x = 78,793,212,753.11/252,071.88
  6. Step 6: Final answer
    x = 312,582.32

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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.