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Finding the Fourth Proportional to 437,156.16, 655,274.78 and 200,304.06

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Solution

The fourth proportional to 437,156.16, 655,274.78 and 200,304.06 is: 300,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,156.16 : 655,274.78 = 200,304.06 : x
  2. Step 2: Convert to fraction form
    437,156.16/655,274.78 = 200,304.06/x
  3. Step 3: Cross multiply
    437,156.16x = 655,274.78 × 200,304.06
  4. Step 4: Simplify right side
    437,156.16x = 131,254,198,849.61
  5. Step 5: Solve for x
    x = 131,254,198,849.61/437,156.16
  6. Step 6: Final answer
    x = 300,245.57

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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.