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Finding the Fourth Proportional to 419,534.01, 578,960.91 and 238,249.71

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Solution

The fourth proportional to 419,534.01, 578,960.91 and 238,249.71 is: 328,786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,534.01 : 578,960.91 = 238,249.71 : x
  2. Step 2: Convert to fraction form
    419,534.01/578,960.91 = 238,249.71/x
  3. Step 3: Cross multiply
    419,534.01x = 578,960.91 × 238,249.71
  4. Step 4: Simplify right side
    419,534.01x = 137,937,268,908.84
  5. Step 5: Solve for x
    x = 137,937,268,908.84/419,534.01
  6. Step 6: Final answer
    x = 328,786.86

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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.