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Finding the Fourth Proportional to 384,739.36, 530,939.20 and 214,973.62

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Solution

The fourth proportional to 384,739.36, 530,939.20 and 214,973.62 is: 296,662.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,739.36 : 530,939.20 = 214,973.62 : x
  2. Step 2: Convert to fraction form
    384,739.36/530,939.20 = 214,973.62/x
  3. Step 3: Cross multiply
    384,739.36x = 530,939.20 × 214,973.62
  4. Step 4: Simplify right side
    384,739.36x = 114,137,921,823.90
  5. Step 5: Solve for x
    x = 114,137,921,823.90/384,739.36
  6. Step 6: Final answer
    x = 296,662.97

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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.