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Finding the Fourth Proportional to 357,937.89, 493,957.67 and 196,794.06

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Solution

The fourth proportional to 357,937.89, 493,957.67 and 196,794.06 is: 271,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,937.89 : 493,957.67 = 196,794.06 : x
  2. Step 2: Convert to fraction form
    357,937.89/493,957.67 = 196,794.06/x
  3. Step 3: Cross multiply
    357,937.89x = 493,957.67 × 196,794.06
  4. Step 4: Simplify right side
    357,937.89x = 97,207,934,363.47
  5. Step 5: Solve for x
    x = 97,207,934,363.47/357,937.89
  6. Step 6: Final answer
    x = 271,577.66

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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.