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Finding the Fourth Proportional to 651,839.50, 978,193.10 and 267,903.24

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Solution

The fourth proportional to 651,839.50, 978,193.10 and 267,903.24 is: 402,033.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,839.50 : 978,193.10 = 267,903.24 : x
  2. Step 2: Convert to fraction form
    651,839.50/978,193.10 = 267,903.24/x
  3. Step 3: Cross multiply
    651,839.50x = 978,193.10 × 267,903.24
  4. Step 4: Simplify right side
    651,839.50x = 262,061,100,835.64
  5. Step 5: Solve for x
    x = 262,061,100,835.64/651,839.50
  6. Step 6: Final answer
    x = 402,033.17

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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.