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Finding the Fourth Proportional to 308,613.95, 462,941.43 and 119,076.68

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Solution

The fourth proportional to 308,613.95, 462,941.43 and 119,076.68 is: 178,622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,613.95 : 462,941.43 = 119,076.68 : x
  2. Step 2: Convert to fraction form
    308,613.95/462,941.43 = 119,076.68/x
  3. Step 3: Cross multiply
    308,613.95x = 462,941.43 × 119,076.68
  4. Step 4: Simplify right side
    308,613.95x = 55,125,529,229.67
  5. Step 5: Solve for x
    x = 55,125,529,229.67/308,613.95
  6. Step 6: Final answer
    x = 178,622.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.