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Finding the Fourth Proportional to 357,862.44, 493,856.30 and 196,724.28

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Solution

The fourth proportional to 357,862.44, 493,856.30 and 196,724.28 is: 271,482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,862.44 : 493,856.30 = 196,724.28 : x
  2. Step 2: Convert to fraction form
    357,862.44/493,856.30 = 196,724.28/x
  3. Step 3: Cross multiply
    357,862.44x = 493,856.30 × 196,724.28
  4. Step 4: Simplify right side
    357,862.44x = 97,153,524,057.34
  5. Step 5: Solve for x
    x = 97,153,524,057.34/357,862.44
  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.