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Finding the Fourth Proportional to 393,647.95, 590,565.66 and 127,408.47

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Solution

The fourth proportional to 393,647.95, 590,565.66 and 127,408.47 is: 191,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,647.95 : 590,565.66 = 127,408.47 : x
  2. Step 2: Convert to fraction form
    393,647.95/590,565.66 = 127,408.47/x
  3. Step 3: Cross multiply
    393,647.95x = 590,565.66 × 127,408.47
  4. Step 4: Simplify right side
    393,647.95x = 75,243,067,175.14
  5. Step 5: Solve for x
    x = 75,243,067,175.14/393,647.95
  6. Step 6: Final answer
    x = 191,143.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.