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Finding the Fourth Proportional to 376,954.92, 565,463.16 and 140,240.52

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Solution

The fourth proportional to 376,954.92, 565,463.16 and 140,240.52 is: 210,372.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,954.92 : 565,463.16 = 140,240.52 : x
  2. Step 2: Convert to fraction form
    376,954.92/565,463.16 = 140,240.52/x
  3. Step 3: Cross multiply
    376,954.92x = 565,463.16 × 140,240.52
  4. Step 4: Simplify right side
    376,954.92x = 79,300,847,599.24
  5. Step 5: Solve for x
    x = 79,300,847,599.24/376,954.92
  6. Step 6: Final answer
    x = 210,372.23

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Why These Related Problems?

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