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Finding the Fourth Proportional to 358,122.72, 494,210.34 and 196,994.28

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Solution

The fourth proportional to 358,122.72, 494,210.34 and 196,994.28 is: 271,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,122.72 : 494,210.34 = 196,994.28 : x
  2. Step 2: Convert to fraction form
    358,122.72/494,210.34 = 196,994.28/x
  3. Step 3: Cross multiply
    358,122.72x = 494,210.34 × 196,994.28
  4. Step 4: Simplify right side
    358,122.72x = 97,356,610,096.86
  5. Step 5: Solve for x
    x = 97,356,610,096.86/358,122.72
  6. Step 6: Final answer
    x = 271,852.65

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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.