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Finding the Fourth Proportional to 693,696.96, 957,411.36 and 421,850.16

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Solution

The fourth proportional to 693,696.96, 957,411.36 and 421,850.16 is: 582,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,696.96 : 957,411.36 = 421,850.16 : x
  2. Step 2: Convert to fraction form
    693,696.96/957,411.36 = 421,850.16/x
  3. Step 3: Cross multiply
    693,696.96x = 957,411.36 × 421,850.16
  4. Step 4: Simplify right side
    693,696.96x = 403,884,135,401.82
  5. Step 5: Solve for x
    x = 403,884,135,401.82/693,696.96
  6. Step 6: Final answer
    x = 582,219.84

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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.