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Finding the Fourth Proportional to 354,134.31, 488,692.94 and 192,986.07

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Solution

The fourth proportional to 354,134.31, 488,692.94 and 192,986.07 is: 266,314.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,134.31 : 488,692.94 = 192,986.07 : x
  2. Step 2: Convert to fraction form
    354,134.31/488,692.94 = 192,986.07/x
  3. Step 3: Cross multiply
    354,134.31x = 488,692.94 × 192,986.07
  4. Step 4: Simplify right side
    354,134.31x = 94,310,928,962.42
  5. Step 5: Solve for x
    x = 94,310,928,962.42/354,134.31
  6. Step 6: Final answer
    x = 266,314.01

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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.