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Finding the Fourth Proportional to 492,836.60, 738,218.10 and 409,892.60

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Solution

The fourth proportional to 492,836.60, 738,218.10 and 409,892.60 is: 613,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,836.60 : 738,218.10 = 409,892.60 : x
  2. Step 2: Convert to fraction form
    492,836.60/738,218.10 = 409,892.60/x
  3. Step 3: Cross multiply
    492,836.60x = 738,218.10 × 409,892.60
  4. Step 4: Simplify right side
    492,836.60x = 302,590,136,376.06
  5. Step 5: Solve for x
    x = 302,590,136,376.06/492,836.60
  6. Step 6: Final answer
    x = 613,976.59

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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.