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Finding the Fourth Proportional to 492,773.60, 738,123.60 and 409,829.60

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Solution

The fourth proportional to 492,773.60, 738,123.60 and 409,829.60 is: 613,882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,773.60 : 738,123.60 = 409,829.60 : x
  2. Step 2: Convert to fraction form
    492,773.60/738,123.60 = 409,829.60/x
  3. Step 3: Cross multiply
    492,773.60x = 738,123.60 × 409,829.60
  4. Step 4: Simplify right side
    492,773.60x = 302,504,899,738.56
  5. Step 5: Solve for x
    x = 302,504,899,738.56/492,773.60
  6. Step 6: Final answer
    x = 613,882.11

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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.