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Finding the Fourth Proportional to 298,412.71, 447,754.46 and 273,185.53

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Solution

The fourth proportional to 298,412.71, 447,754.46 and 273,185.53 is: 409,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,412.71 : 447,754.46 = 273,185.53 : x
  2. Step 2: Convert to fraction form
    298,412.71/447,754.46 = 273,185.53/x
  3. Step 3: Cross multiply
    298,412.71x = 447,754.46 × 273,185.53
  4. Step 4: Simplify right side
    298,412.71x = 122,320,038,099.04
  5. Step 5: Solve for x
    x = 122,320,038,099.04/298,412.71
  6. Step 6: Final answer
    x = 409,902.24

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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.