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Finding the Fourth Proportional to 425,263.82, 637,674.25 and 200,563.92

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Solution

The fourth proportional to 425,263.82, 637,674.25 and 200,563.92 is: 300,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,263.82 : 637,674.25 = 200,563.92 : x
  2. Step 2: Convert to fraction form
    425,263.82/637,674.25 = 200,563.92/x
  3. Step 3: Cross multiply
    425,263.82x = 637,674.25 × 200,563.92
  4. Step 4: Simplify right side
    425,263.82x = 127,894,447,854.43
  5. Step 5: Solve for x
    x = 127,894,447,854.43/425,263.82
  6. Step 6: Final answer
    x = 300,741.43

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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.