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Finding the Fourth Proportional to 685,863.44, 946,953.70 and 428,132.78

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Solution

The fourth proportional to 685,863.44, 946,953.70 and 428,132.78 is: 591,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,863.44 : 946,953.70 = 428,132.78 : x
  2. Step 2: Convert to fraction form
    685,863.44/946,953.70 = 428,132.78/x
  3. Step 3: Cross multiply
    685,863.44x = 946,953.70 × 428,132.78
  4. Step 4: Simplify right side
    685,863.44x = 405,421,920,112.29
  5. Step 5: Solve for x
    x = 405,421,920,112.29/685,863.44
  6. Step 6: Final answer
    x = 591,111.72

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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.