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Finding the Fourth Proportional to 437,134.48, 655,476.12 and 200,274.16

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Solution

The fourth proportional to 437,134.48, 655,476.12 and 200,274.16 is: 300,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,134.48 : 655,476.12 = 200,274.16 : x
  2. Step 2: Convert to fraction form
    437,134.48/655,476.12 = 200,274.16/x
  3. Step 3: Cross multiply
    437,134.48x = 655,476.12 × 200,274.16
  4. Step 4: Simplify right side
    437,134.48x = 131,274,929,333.06
  5. Step 5: Solve for x
    x = 131,274,929,333.06/437,134.48
  6. Step 6: Final answer
    x = 300,307.88

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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.