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Finding the Fourth Proportional to 380,055.95, 570,249.32 and 238,226.27

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Solution

The fourth proportional to 380,055.95, 570,249.32 and 238,226.27 is: 357,443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,055.95 : 570,249.32 = 238,226.27 : x
  2. Step 2: Convert to fraction form
    380,055.95/570,249.32 = 238,226.27/x
  3. Step 3: Cross multiply
    380,055.95x = 570,249.32 × 238,226.27
  4. Step 4: Simplify right side
    380,055.95x = 135,848,364,431.26
  5. Step 5: Solve for x
    x = 135,848,364,431.26/380,055.95
  6. Step 6: Final answer
    x = 357,443.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.