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Finding the Fourth Proportional to 357,863.40, 493,852.01 and 196,719.44

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Solution

The fourth proportional to 357,863.40, 493,852.01 and 196,719.44 is: 271,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,863.40 : 493,852.01 = 196,719.44 : x
  2. Step 2: Convert to fraction form
    357,863.40/493,852.01 = 196,719.44/x
  3. Step 3: Cross multiply
    357,863.40x = 493,852.01 × 196,719.44
  4. Step 4: Simplify right side
    357,863.40x = 97,150,287,397.22
  5. Step 5: Solve for x
    x = 97,150,287,397.22/357,863.40
  6. Step 6: Final answer
    x = 271,473.10

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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.