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Finding the Fourth Proportional to 638,513, 957,774.30 and 283,431.56

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Solution

The fourth proportional to 638,513, 957,774.30 and 283,431.56 is: 425,149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,513 : 957,774.30 = 283,431.56 : x
  2. Step 2: Convert to fraction form
    638,513/957,774.30 = 283,431.56/x
  3. Step 3: Cross multiply
    638,513x = 957,774.30 × 283,431.56
  4. Step 4: Simplify right side
    638,513x = 271,463,463,976.91
  5. Step 5: Solve for x
    x = 271,463,463,976.91/638,513
  6. Step 6: Final answer
    x = 425,149.47

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1.5x scale

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.