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Finding the Fourth Proportional to 425,265.53, 637,676.82 and 200,565.63

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Solution

The fourth proportional to 425,265.53, 637,676.82 and 200,565.63 is: 300,743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,265.53 : 637,676.82 = 200,565.63 : x
  2. Step 2: Convert to fraction form
    425,265.53/637,676.82 = 200,565.63/x
  3. Step 3: Cross multiply
    425,265.53x = 637,676.82 × 200,565.63
  4. Step 4: Simplify right side
    425,265.53x = 127,896,053,731.06
  5. Step 5: Solve for x
    x = 127,896,053,731.06/425,265.53
  6. Step 6: Final answer
    x = 300,743.99

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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.