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Finding the Fourth Proportional to 357,975.64, 494,008.22 and 196,841.08

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Solution

The fourth proportional to 357,975.64, 494,008.22 and 196,841.08 is: 271,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,975.64 : 494,008.22 = 196,841.08 : x
  2. Step 2: Convert to fraction form
    357,975.64/494,008.22 = 196,841.08/x
  3. Step 3: Cross multiply
    357,975.64x = 494,008.22 × 196,841.08
  4. Step 4: Simplify right side
    357,975.64x = 97,241,111,553.68
  5. Step 5: Solve for x
    x = 97,241,111,553.68/357,975.64
  6. Step 6: Final answer
    x = 271,641.70

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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.