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Finding the Fourth Proportional to 437,154.66, 655,272.54 and 200,302.56

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Solution

The fourth proportional to 437,154.66, 655,272.54 and 200,302.56 is: 300,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,154.66 : 655,272.54 = 200,302.56 : x
  2. Step 2: Convert to fraction form
    437,154.66/655,272.54 = 200,302.56/x
  3. Step 3: Cross multiply
    437,154.66x = 655,272.54 × 200,302.56
  4. Step 4: Simplify right side
    437,154.66x = 131,252,767,259.70
  5. Step 5: Solve for x
    x = 131,252,767,259.70/437,154.66
  6. Step 6: Final answer
    x = 300,243.32

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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.