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Finding the Fourth Proportional to 685,710.37, 946,287.41 and 413,725.71

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Solution

The fourth proportional to 685,710.37, 946,287.41 and 413,725.71 is: 570,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,710.37 : 946,287.41 = 413,725.71 : x
  2. Step 2: Convert to fraction form
    685,710.37/946,287.41 = 413,725.71/x
  3. Step 3: Cross multiply
    685,710.37x = 946,287.41 × 413,725.71
  4. Step 4: Simplify right side
    685,710.37x = 391,503,432,046.26
  5. Step 5: Solve for x
    x = 391,503,432,046.26/685,710.37
  6. Step 6: Final answer
    x = 570,945.76

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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.