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Finding the Fourth Proportional to 387,039.14, 534,114.56 and 217,274.48

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Solution

The fourth proportional to 387,039.14, 534,114.56 and 217,274.48 is: 299,839.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,039.14 : 534,114.56 = 217,274.48 : x
  2. Step 2: Convert to fraction form
    387,039.14/534,114.56 = 217,274.48/x
  3. Step 3: Cross multiply
    387,039.14x = 534,114.56 × 217,274.48
  4. Step 4: Simplify right side
    387,039.14x = 116,049,463,533.34
  5. Step 5: Solve for x
    x = 116,049,463,533.34/387,039.14
  6. Step 6: Final answer
    x = 299,839.09

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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.