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Finding the Fourth Proportional to 357,825.30, 493,799.99 and 196,696.86

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Solution

The fourth proportional to 357,825.30, 493,799.99 and 196,696.86 is: 271,442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,825.30 : 493,799.99 = 196,696.86 : x
  2. Step 2: Convert to fraction form
    357,825.30/493,799.99 = 196,696.86/x
  3. Step 3: Cross multiply
    357,825.30x = 493,799.99 × 196,696.86
  4. Step 4: Simplify right side
    357,825.30x = 97,128,907,501.03
  5. Step 5: Solve for x
    x = 97,128,907,501.03/357,825.30
  6. Step 6: Final answer
    x = 271,442.26

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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.