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Finding the Fourth Proportional to 357,792.08, 493,762.12 and 196,651.22

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Solution

The fourth proportional to 357,792.08, 493,762.12 and 196,651.22 is: 271,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,792.08 : 493,762.12 = 196,651.22 : x
  2. Step 2: Convert to fraction form
    357,792.08/493,762.12 = 196,651.22/x
  3. Step 3: Cross multiply
    357,792.08x = 493,762.12 × 196,651.22
  4. Step 4: Simplify right side
    357,792.08x = 97,098,920,327.35
  5. Step 5: Solve for x
    x = 97,098,920,327.35/357,792.08
  6. Step 6: Final answer
    x = 271,383.65

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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.