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Finding the Fourth Proportional to 685,858.95, 946,947.50 and 428,128.29

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Solution

The fourth proportional to 685,858.95, 946,947.50 and 428,128.29 is: 591,105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,858.95 : 946,947.50 = 428,128.29 : x
  2. Step 2: Convert to fraction form
    685,858.95/946,947.50 = 428,128.29/x
  3. Step 3: Cross multiply
    685,858.95x = 946,947.50 × 428,128.29
  4. Step 4: Simplify right side
    685,858.95x = 405,415,011,754.13
  5. Step 5: Solve for x
    x = 405,415,011,754.13/685,858.95
  6. Step 6: Final answer
    x = 591,105.52

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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.