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Finding the Fourth Proportional to 357,742.73, 493,661.09 and 196,594.31

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Solution

The fourth proportional to 357,742.73, 493,661.09 and 196,594.31 is: 271,287.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,742.73 : 493,661.09 = 196,594.31 : x
  2. Step 2: Convert to fraction form
    357,742.73/493,661.09 = 196,594.31/x
  3. Step 3: Cross multiply
    357,742.73x = 493,661.09 × 196,594.31
  4. Step 4: Simplify right side
    357,742.73x = 97,050,957,911.12
  5. Step 5: Solve for x
    x = 97,050,957,911.12/357,742.73
  6. Step 6: Final answer
    x = 271,287.02

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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.