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Finding the Fourth Proportional to 425,825.20, 638,446.20 and 201,293.20

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Solution

The fourth proportional to 425,825.20, 638,446.20 and 201,293.20 is: 301,801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,825.20 : 638,446.20 = 201,293.20 : x
  2. Step 2: Convert to fraction form
    425,825.20/638,446.20 = 201,293.20/x
  3. Step 3: Cross multiply
    425,825.20x = 638,446.20 × 201,293.20
  4. Step 4: Simplify right side
    425,825.20x = 128,514,878,625.84
  5. Step 5: Solve for x
    x = 128,514,878,625.84/425,825.20
  6. Step 6: Final answer
    x = 301,801.96

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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.