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Finding the Fourth Proportional to 357,975.33, 493,992.66 and 196,820.79

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Solution

The fourth proportional to 357,975.33, 493,992.66 and 196,820.79 is: 271,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,975.33 : 493,992.66 = 196,820.79 : x
  2. Step 2: Convert to fraction form
    357,975.33/493,992.66 = 196,820.79/x
  3. Step 3: Cross multiply
    357,975.33x = 493,992.66 × 196,820.79
  4. Step 4: Simplify right side
    357,975.33x = 97,228,025,595.40
  5. Step 5: Solve for x
    x = 97,228,025,595.40/357,975.33
  6. Step 6: Final answer
    x = 271,605.38

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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.