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Finding the Fourth Proportional to 492,230.80, 738,346.20 and 404,750.80

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Solution

The fourth proportional to 492,230.80, 738,346.20 and 404,750.80 is: 607,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,230.80 : 738,346.20 = 404,750.80 : x
  2. Step 2: Convert to fraction form
    492,230.80/738,346.20 = 404,750.80/x
  3. Step 3: Cross multiply
    492,230.80x = 738,346.20 × 404,750.80
  4. Step 4: Simplify right side
    492,230.80x = 298,846,215,126.96
  5. Step 5: Solve for x
    x = 298,846,215,126.96/492,230.80
  6. Step 6: Final answer
    x = 607,126.20

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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.