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Finding the Fourth Proportional to 418,119.96, 627,085.44 and 193,357.32

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Solution

The fourth proportional to 418,119.96, 627,085.44 and 193,357.32 is: 289,992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,119.96 : 627,085.44 = 193,357.32 : x
  2. Step 2: Convert to fraction form
    418,119.96/627,085.44 = 193,357.32/x
  3. Step 3: Cross multiply
    418,119.96x = 627,085.44 × 193,357.32
  4. Step 4: Simplify right side
    418,119.96x = 121,251,560,089.42
  5. Step 5: Solve for x
    x = 121,251,560,089.42/418,119.96
  6. Step 6: Final answer
    x = 289,992.28

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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.