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Finding the Fourth Proportional to 254,705.44, 381,920.88 and 195,394.72

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Solution

The fourth proportional to 254,705.44, 381,920.88 and 195,394.72 is: 292,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,705.44 : 381,920.88 = 195,394.72 : x
  2. Step 2: Convert to fraction form
    254,705.44/381,920.88 = 195,394.72/x
  3. Step 3: Cross multiply
    254,705.44x = 381,920.88 × 195,394.72
  4. Step 4: Simplify right side
    254,705.44x = 74,625,323,409.75
  5. Step 5: Solve for x
    x = 74,625,323,409.75/254,705.44
  6. Step 6: Final answer
    x = 292,986.77

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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.