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Finding the Fourth Proportional to 380,974.86, 525,746.75 and 208,895.49

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Solution

The fourth proportional to 380,974.86, 525,746.75 and 208,895.49 is: 288,276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,974.86 : 525,746.75 = 208,895.49 : x
  2. Step 2: Convert to fraction form
    380,974.86/525,746.75 = 208,895.49/x
  3. Step 3: Cross multiply
    380,974.86x = 525,746.75 × 208,895.49
  4. Step 4: Simplify right side
    380,974.86x = 109,826,123,912.68
  5. Step 5: Solve for x
    x = 109,826,123,912.68/380,974.86
  6. Step 6: Final answer
    x = 288,276.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.