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Finding the Fourth Proportional to 349,138.96, 523,938.07 and 191,478.13

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Solution

The fourth proportional to 349,138.96, 523,938.07 and 191,478.13 is: 287,343.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,138.96 : 523,938.07 = 191,478.13 : x
  2. Step 2: Convert to fraction form
    349,138.96/523,938.07 = 191,478.13/x
  3. Step 3: Cross multiply
    349,138.96x = 523,938.07 × 191,478.13
  4. Step 4: Simplify right side
    349,138.96x = 100,322,680,808.91
  5. Step 5: Solve for x
    x = 100,322,680,808.91/349,138.96
  6. Step 6: Final answer
    x = 287,343.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.