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Finding the Fourth Proportional to 305,830.20, 458,745.30 and 227,098.20

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Solution

The fourth proportional to 305,830.20, 458,745.30 and 227,098.20 is: 340,647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,830.20 : 458,745.30 = 227,098.20 : x
  2. Step 2: Convert to fraction form
    305,830.20/458,745.30 = 227,098.20/x
  3. Step 3: Cross multiply
    305,830.20x = 458,745.30 × 227,098.20
  4. Step 4: Simplify right side
    305,830.20x = 104,180,231,888.46
  5. Step 5: Solve for x
    x = 104,180,231,888.46/305,830.20
  6. Step 6: Final answer
    x = 340,647.30

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1.5x scale

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.