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Finding the Fourth Proportional to 354,166.30, 488,762.69 and 201,230.42

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Solution

The fourth proportional to 354,166.30, 488,762.69 and 201,230.42 is: 277,705.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,166.30 : 488,762.69 = 201,230.42 : x
  2. Step 2: Convert to fraction form
    354,166.30/488,762.69 = 201,230.42/x
  3. Step 3: Cross multiply
    354,166.30x = 488,762.69 × 201,230.42
  4. Step 4: Simplify right side
    354,166.30x = 98,353,921,604.78
  5. Step 5: Solve for x
    x = 98,353,921,604.78/354,166.30
  6. Step 6: Final answer
    x = 277,705.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.