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Finding the Fourth Proportional to 454,912.74, 627,653.61 and 293,774.58

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Solution

The fourth proportional to 454,912.74, 627,653.61 and 293,774.58 is: 405,327.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,912.74 : 627,653.61 = 293,774.58 : x
  2. Step 2: Convert to fraction form
    454,912.74/627,653.61 = 293,774.58/x
  3. Step 3: Cross multiply
    454,912.74x = 627,653.61 × 293,774.58
  4. Step 4: Simplify right side
    454,912.74x = 184,388,675,663.23
  5. Step 5: Solve for x
    x = 184,388,675,663.23/454,912.74
  6. Step 6: Final answer
    x = 405,327.57

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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.