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Finding the Fourth Proportional to 357,632.40, 493,541.40 and 196,497.88

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Solution

The fourth proportional to 357,632.40, 493,541.40 and 196,497.88 is: 271,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,632.40 : 493,541.40 = 196,497.88 : x
  2. Step 2: Convert to fraction form
    357,632.40/493,541.40 = 196,497.88/x
  3. Step 3: Cross multiply
    357,632.40x = 493,541.40 × 196,497.88
  4. Step 4: Simplify right side
    357,632.40x = 96,979,838,792.23
  5. Step 5: Solve for x
    x = 96,979,838,792.23/357,632.40
  6. Step 6: Final answer
    x = 271,171.85

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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.