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Finding the Fourth Proportional to 357,824.30, 493,798.61 and 196,695.86

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Solution

The fourth proportional to 357,824.30, 493,798.61 and 196,695.86 is: 271,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,824.30 : 493,798.61 = 196,695.86 : x
  2. Step 2: Convert to fraction form
    357,824.30/493,798.61 = 196,695.86/x
  3. Step 3: Cross multiply
    357,824.30x = 493,798.61 × 196,695.86
  4. Step 4: Simplify right side
    357,824.30x = 97,128,143,061.12
  5. Step 5: Solve for x
    x = 97,128,143,061.12/357,824.30
  6. Step 6: Final answer
    x = 271,440.88

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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.