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Finding the Fourth Proportional to 489,206.90, 732,826.20 and 329,774.60

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Solution

The fourth proportional to 489,206.90, 732,826.20 and 329,774.60 is: 493,998.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,206.90 : 732,826.20 = 329,774.60 : x
  2. Step 2: Convert to fraction form
    489,206.90/732,826.20 = 329,774.60/x
  3. Step 3: Cross multiply
    489,206.90x = 732,826.20 × 329,774.60
  4. Step 4: Simplify right side
    489,206.90x = 241,667,466,974.52
  5. Step 5: Solve for x
    x = 241,667,466,974.52/489,206.90
  6. Step 6: Final answer
    x = 493,998.48

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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.