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Finding the Fourth Proportional to 425,265.34, 637,676.54 and 200,565.44

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Solution

The fourth proportional to 425,265.34, 637,676.54 and 200,565.44 is: 300,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,265.34 : 637,676.54 = 200,565.44 : x
  2. Step 2: Convert to fraction form
    425,265.34/637,676.54 = 200,565.44/x
  3. Step 3: Cross multiply
    425,265.34x = 637,676.54 × 200,565.44
  4. Step 4: Simplify right side
    425,265.34x = 127,895,875,822.78
  5. Step 5: Solve for x
    x = 127,895,875,822.78/425,265.34
  6. Step 6: Final answer
    x = 300,743.71

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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.