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Finding the Fourth Proportional to 357,963.59, 493,991.62 and 196,829.02

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Solution

The fourth proportional to 357,963.59, 493,991.62 and 196,829.02 is: 271,625.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,963.59 : 493,991.62 = 196,829.02 : x
  2. Step 2: Convert to fraction form
    357,963.59/493,991.62 = 196,829.02/x
  3. Step 3: Cross multiply
    357,963.59x = 493,991.62 × 196,829.02
  4. Step 4: Simplify right side
    357,963.59x = 97,231,886,578.23
  5. Step 5: Solve for x
    x = 97,231,886,578.23/357,963.59
  6. Step 6: Final answer
    x = 271,625.07

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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.