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Finding the Fourth Proportional to 542,890.08, 814,203.90 and 227,583

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Solution

The fourth proportional to 542,890.08, 814,203.90 and 227,583 is: 341,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,890.08 : 814,203.90 = 227,583 : x
  2. Step 2: Convert to fraction form
    542,890.08/814,203.90 = 227,583/x
  3. Step 3: Cross multiply
    542,890.08x = 814,203.90 × 227,583
  4. Step 4: Simplify right side
    542,890.08x = 185,298,966,173.70
  5. Step 5: Solve for x
    x = 185,298,966,173.70/542,890.08
  6. Step 6: Final answer
    x = 341,319.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.