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Finding the Fourth Proportional to 534,872.94, 738,205.94 and 341,364.14

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Solution

The fourth proportional to 534,872.94, 738,205.94 and 341,364.14 is: 471,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,872.94 : 738,205.94 = 341,364.14 : x
  2. Step 2: Convert to fraction form
    534,872.94/738,205.94 = 341,364.14/x
  3. Step 3: Cross multiply
    534,872.94x = 738,205.94 × 341,364.14
  4. Step 4: Simplify right side
    534,872.94x = 251,997,035,850.99
  5. Step 5: Solve for x
    x = 251,997,035,850.99/534,872.94
  6. Step 6: Final answer
    x = 471,134.39

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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.