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Finding the Fourth Proportional to 357,863.68, 493,858.02 and 196,725.52

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Solution

The fourth proportional to 357,863.68, 493,858.02 and 196,725.52 is: 271,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,863.68 : 493,858.02 = 196,725.52 : x
  2. Step 2: Convert to fraction form
    357,863.68/493,858.02 = 196,725.52/x
  3. Step 3: Cross multiply
    357,863.68x = 493,858.02 × 196,725.52
  4. Step 4: Simplify right side
    357,863.68x = 97,154,475,790.67
  5. Step 5: Solve for x
    x = 97,154,475,790.67/357,863.68
  6. Step 6: Final answer
    x = 271,484.59

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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.