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Finding the Fourth Proportional to 354,186.14, 488,773.82 and 193,041.14

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Solution

The fourth proportional to 354,186.14, 488,773.82 and 193,041.14 is: 266,395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,186.14 : 488,773.82 = 193,041.14 : x
  2. Step 2: Convert to fraction form
    354,186.14/488,773.82 = 193,041.14/x
  3. Step 3: Cross multiply
    354,186.14x = 488,773.82 × 193,041.14
  4. Step 4: Simplify right side
    354,186.14x = 94,353,455,414.95
  5. Step 5: Solve for x
    x = 94,353,455,414.95/354,186.14
  6. Step 6: Final answer
    x = 266,395.11

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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.