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Finding the Fourth Proportional to 435,941.80, 653,912.70 and 362,213.80

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Solution

The fourth proportional to 435,941.80, 653,912.70 and 362,213.80 is: 543,320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,941.80 : 653,912.70 = 362,213.80 : x
  2. Step 2: Convert to fraction form
    435,941.80/653,912.70 = 362,213.80/x
  3. Step 3: Cross multiply
    435,941.80x = 653,912.70 × 362,213.80
  4. Step 4: Simplify right side
    435,941.80x = 236,856,203,935.26
  5. Step 5: Solve for x
    x = 236,856,203,935.26/435,941.80
  6. Step 6: Final answer
    x = 543,320.70

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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.