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Finding the Fourth Proportional to 354,122.23, 488,675.58 and 192,974.50

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Solution

The fourth proportional to 354,122.23, 488,675.58 and 192,974.50 is: 266,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,122.23 : 488,675.58 = 192,974.50 : x
  2. Step 2: Convert to fraction form
    354,122.23/488,675.58 = 192,974.50/x
  3. Step 3: Cross multiply
    354,122.23x = 488,675.58 × 192,974.50
  4. Step 4: Simplify right side
    354,122.23x = 94,301,926,685.38
  5. Step 5: Solve for x
    x = 94,301,926,685.38/354,122.23
  6. Step 6: Final answer
    x = 266,297.68

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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.