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Finding the Fourth Proportional to 357,862.43, 493,856.30 and 196,724.27

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Solution

The fourth proportional to 357,862.43, 493,856.30 and 196,724.27 is: 271,482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,862.43 : 493,856.30 = 196,724.27 : x
  2. Step 2: Convert to fraction form
    357,862.43/493,856.30 = 196,724.27/x
  3. Step 3: Cross multiply
    357,862.43x = 493,856.30 × 196,724.27
  4. Step 4: Simplify right side
    357,862.43x = 97,153,520,353.42
  5. Step 5: Solve for x
    x = 97,153,520,353.42/357,862.43
  6. Step 6: Final answer
    x = 271,482.87

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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.