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Finding the Fourth Proportional to 510,396.48, 704,623.32 and 357,902.64

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Solution

The fourth proportional to 510,396.48, 704,623.32 and 357,902.64 is: 494,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,396.48 : 704,623.32 = 357,902.64 : x
  2. Step 2: Convert to fraction form
    510,396.48/704,623.32 = 357,902.64/x
  3. Step 3: Cross multiply
    510,396.48x = 704,623.32 × 357,902.64
  4. Step 4: Simplify right side
    510,396.48x = 252,186,546,433.57
  5. Step 5: Solve for x
    x = 252,186,546,433.57/510,396.48
  6. Step 6: Final answer
    x = 494,099.31

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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.