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Finding the Fourth Proportional to 380,704.62, 525,372.38 and 210,938.75

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Solution

The fourth proportional to 380,704.62, 525,372.38 and 210,938.75 is: 291,095.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,704.62 : 525,372.38 = 210,938.75 : x
  2. Step 2: Convert to fraction form
    380,704.62/525,372.38 = 210,938.75/x
  3. Step 3: Cross multiply
    380,704.62x = 525,372.38 × 210,938.75
  4. Step 4: Simplify right side
    380,704.62x = 110,821,389,440.17
  5. Step 5: Solve for x
    x = 110,821,389,440.17/380,704.62
  6. Step 6: Final answer
    x = 291,095.47

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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.