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Finding the Fourth Proportional to 384,814.62, 530,998.17 and 212,709.33

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Solution

The fourth proportional to 384,814.62, 530,998.17 and 212,709.33 is: 293,513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,814.62 : 530,998.17 = 212,709.33 : x
  2. Step 2: Convert to fraction form
    384,814.62/530,998.17 = 212,709.33/x
  3. Step 3: Cross multiply
    384,814.62x = 530,998.17 × 212,709.33
  4. Step 4: Simplify right side
    384,814.62x = 112,948,264,971.93
  5. Step 5: Solve for x
    x = 112,948,264,971.93/384,814.62
  6. Step 6: Final answer
    x = 293,513.45

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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.