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Finding the Fourth Proportional to 693,832.14, 957,435.53 and 421,862.29

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Solution

The fourth proportional to 693,832.14, 957,435.53 and 421,862.29 is: 582,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,832.14 : 957,435.53 = 421,862.29 : x
  2. Step 2: Convert to fraction form
    693,832.14/957,435.53 = 421,862.29/x
  3. Step 3: Cross multiply
    693,832.14x = 957,435.53 × 421,862.29
  4. Step 4: Simplify right side
    693,832.14x = 403,905,940,710.26
  5. Step 5: Solve for x
    x = 403,905,940,710.26/693,832.14
  6. Step 6: Final answer
    x = 582,137.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.