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Finding the Fourth Proportional to 357,863.78, 493,852.53 and 196,719.81

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Solution

The fourth proportional to 357,863.78, 493,852.53 and 196,719.81 is: 271,473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,863.78 : 493,852.53 = 196,719.81 : x
  2. Step 2: Convert to fraction form
    357,863.78/493,852.53 = 196,719.81/x
  3. Step 3: Cross multiply
    357,863.78x = 493,852.53 × 196,719.81
  4. Step 4: Simplify right side
    357,863.78x = 97,150,575,869.62
  5. Step 5: Solve for x
    x = 97,150,575,869.62/357,863.78
  6. Step 6: Final answer
    x = 271,473.62

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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.