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Finding the Fourth Proportional to 357,846.90, 493,823.16 and 196,698.48

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Solution

The fourth proportional to 357,846.90, 493,823.16 and 196,698.48 is: 271,440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,846.90 : 493,823.16 = 196,698.48 : x
  2. Step 2: Convert to fraction form
    357,846.90/493,823.16 = 196,698.48/x
  3. Step 3: Cross multiply
    357,846.90x = 493,823.16 × 196,698.48
  4. Step 4: Simplify right side
    357,846.90x = 97,134,264,960.80
  5. Step 5: Solve for x
    x = 97,134,264,960.80/357,846.90
  6. Step 6: Final answer
    x = 271,440.85

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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.