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Finding the Fourth Proportional to 357,963.33, 493,976.12 and 196,808.79

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Solution

The fourth proportional to 357,963.33, 493,976.12 and 196,808.79 is: 271,588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,963.33 : 493,976.12 = 196,808.79 : x
  2. Step 2: Convert to fraction form
    357,963.33/493,976.12 = 196,808.79/x
  3. Step 3: Cross multiply
    357,963.33x = 493,976.12 × 196,808.79
  4. Step 4: Simplify right side
    357,963.33x = 97,218,841,482.05
  5. Step 5: Solve for x
    x = 97,218,841,482.05/357,963.33
  6. Step 6: Final answer
    x = 271,588.83

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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.