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Finding the Fourth Proportional to 384,084.39, 530,036.55 and 214,318.38

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Solution

The fourth proportional to 384,084.39, 530,036.55 and 214,318.38 is: 295,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,084.39 : 530,036.55 = 214,318.38 : x
  2. Step 2: Convert to fraction form
    384,084.39/530,036.55 = 214,318.38/x
  3. Step 3: Cross multiply
    384,084.39x = 530,036.55 × 214,318.38
  4. Step 4: Simplify right side
    384,084.39x = 113,596,574,736.79
  5. Step 5: Solve for x
    x = 113,596,574,736.79/384,084.39
  6. Step 6: Final answer
    x = 295,759.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.