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Finding the Fourth Proportional to 420,229.37, 579,915.30 and 229,241.39

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Solution

The fourth proportional to 420,229.37, 579,915.30 and 229,241.39 is: 316,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,229.37 : 579,915.30 = 229,241.39 : x
  2. Step 2: Convert to fraction form
    420,229.37/579,915.30 = 229,241.39/x
  3. Step 3: Cross multiply
    420,229.37x = 579,915.30 × 229,241.39
  4. Step 4: Simplify right side
    420,229.37x = 132,940,589,386.89
  5. Step 5: Solve for x
    x = 132,940,589,386.89/420,229.37
  6. Step 6: Final answer
    x = 316,352.45

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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.