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Finding the Fourth Proportional to 685,933.86, 946,595.37 and 380,016.75

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Solution

The fourth proportional to 685,933.86, 946,595.37 and 380,016.75 is: 524,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,933.86 : 946,595.37 = 380,016.75 : x
  2. Step 2: Convert to fraction form
    685,933.86/946,595.37 = 380,016.75/x
  3. Step 3: Cross multiply
    685,933.86x = 946,595.37 × 380,016.75
  4. Step 4: Simplify right side
    685,933.86x = 359,722,096,072.45
  5. Step 5: Solve for x
    x = 359,722,096,072.45/685,933.86
  6. Step 6: Final answer
    x = 524,426.80

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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.