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Finding the Fourth Proportional to 357,872.40, 493,865.52 and 196,737.84

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Solution

The fourth proportional to 357,872.40, 493,865.52 and 196,737.84 is: 271,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,872.40 : 493,865.52 = 196,737.84 : x
  2. Step 2: Convert to fraction form
    357,872.40/493,865.52 = 196,737.84/x
  3. Step 3: Cross multiply
    357,872.40x = 493,865.52 × 196,737.84
  4. Step 4: Simplify right side
    357,872.40x = 97,162,035,655.28
  5. Step 5: Solve for x
    x = 97,162,035,655.28/357,872.40
  6. Step 6: Final answer
    x = 271,499.10

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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.