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Finding the Fourth Proportional to 354,106.89, 488,668.14 and 192,962.66

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Solution

The fourth proportional to 354,106.89, 488,668.14 and 192,962.66 is: 266,288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,106.89 : 488,668.14 = 192,962.66 : x
  2. Step 2: Convert to fraction form
    354,106.89/488,668.14 = 192,962.66/x
  3. Step 3: Cross multiply
    354,106.89x = 488,668.14 × 192,962.66
  4. Step 4: Simplify right side
    354,106.89x = 94,294,701,708.31
  5. Step 5: Solve for x
    x = 94,294,701,708.31/354,106.89
  6. Step 6: Final answer
    x = 266,288.81

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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.