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Finding the Fourth Proportional to 357,959.78, 493,985.76 and 196,824.96

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Solution

The fourth proportional to 357,959.78, 493,985.76 and 196,824.96 is: 271,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,959.78 : 493,985.76 = 196,824.96 : x
  2. Step 2: Convert to fraction form
    357,959.78/493,985.76 = 196,824.96/x
  3. Step 3: Cross multiply
    357,959.78x = 493,985.76 × 196,824.96
  4. Step 4: Simplify right side
    357,959.78x = 97,228,728,070.05
  5. Step 5: Solve for x
    x = 97,228,728,070.05/357,959.78
  6. Step 6: Final answer
    x = 271,619.14

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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.