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Finding the Fourth Proportional to 492,771.10, 738,119.85 and 409,827.10

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Solution

The fourth proportional to 492,771.10, 738,119.85 and 409,827.10 is: 613,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,771.10 : 738,119.85 = 409,827.10 : x
  2. Step 2: Convert to fraction form
    492,771.10/738,119.85 = 409,827.10/x
  3. Step 3: Cross multiply
    492,771.10x = 738,119.85 × 409,827.10
  4. Step 4: Simplify right side
    492,771.10x = 302,501,517,577.94
  5. Step 5: Solve for x
    x = 302,501,517,577.94/492,771.10
  6. Step 6: Final answer
    x = 613,878.37

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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.