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Finding the Fourth Proportional to 542,893.08, 814,208.40 and 227,586

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Solution

The fourth proportional to 542,893.08, 814,208.40 and 227,586 is: 341,323.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,893.08 : 814,208.40 = 227,586 : x
  2. Step 2: Convert to fraction form
    542,893.08/814,208.40 = 227,586/x
  3. Step 3: Cross multiply
    542,893.08x = 814,208.40 × 227,586
  4. Step 4: Simplify right side
    542,893.08x = 185,302,432,922.40
  5. Step 5: Solve for x
    x = 185,302,432,922.40/542,893.08
  6. Step 6: Final answer
    x = 341,323.99

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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.