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Finding the Fourth Proportional to 358,113.73, 494,206.30 and 196,973.01

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Solution

The fourth proportional to 358,113.73, 494,206.30 and 196,973.01 is: 271,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,113.73 : 494,206.30 = 196,973.01 : x
  2. Step 2: Convert to fraction form
    358,113.73/494,206.30 = 196,973.01/x
  3. Step 3: Cross multiply
    358,113.73x = 494,206.30 × 196,973.01
  4. Step 4: Simplify right side
    358,113.73x = 97,345,302,093.70
  5. Step 5: Solve for x
    x = 97,345,302,093.70/358,113.73
  6. Step 6: Final answer
    x = 271,827.90

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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.