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Finding the Fourth Proportional to 384,154.98, 530,084.97 and 214,396.26

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Solution

The fourth proportional to 384,154.98, 530,084.97 and 214,396.26 is: 295,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,154.98 : 530,084.97 = 214,396.26 : x
  2. Step 2: Convert to fraction form
    384,154.98/530,084.97 = 214,396.26/x
  3. Step 3: Cross multiply
    384,154.98x = 530,084.97 × 214,396.26
  4. Step 4: Simplify right side
    384,154.98x = 113,648,235,050.21
  5. Step 5: Solve for x
    x = 113,648,235,050.21/384,154.98
  6. Step 6: Final answer
    x = 295,839.55

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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.