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Finding the Fourth Proportional to 384,741.86, 530,942.65 and 214,976.12

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Solution

The fourth proportional to 384,741.86, 530,942.65 and 214,976.12 is: 296,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,741.86 : 530,942.65 = 214,976.12 : x
  2. Step 2: Convert to fraction form
    384,741.86/530,942.65 = 214,976.12/x
  3. Step 3: Cross multiply
    384,741.86x = 530,942.65 × 214,976.12
  4. Step 4: Simplify right side
    384,741.86x = 114,139,987,647.36
  5. Step 5: Solve for x
    x = 114,139,987,647.36/384,741.86
  6. Step 6: Final answer
    x = 296,666.42

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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.