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Finding the Fourth Proportional to 336,094.14, 463,710.42 and 200,019

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Solution

The fourth proportional to 336,094.14, 463,710.42 and 200,019 is: 275,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,094.14 : 463,710.42 = 200,019 : x
  2. Step 2: Convert to fraction form
    336,094.14/463,710.42 = 200,019/x
  3. Step 3: Cross multiply
    336,094.14x = 463,710.42 × 200,019
  4. Step 4: Simplify right side
    336,094.14x = 92,750,894,497.98
  5. Step 5: Solve for x
    x = 92,750,894,497.98/336,094.14
  6. Step 6: Final answer
    x = 275,967.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.