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Finding the Fourth Proportional to 785,775, 1,084,369.50 and 428,079

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Solution

The fourth proportional to 785,775, 1,084,369.50 and 428,079 is: 590,749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,775 : 1,084,369.50 = 428,079 : x
  2. Step 2: Convert to fraction form
    785,775/1,084,369.50 = 428,079/x
  3. Step 3: Cross multiply
    785,775x = 1,084,369.50 × 428,079
  4. Step 4: Simplify right side
    785,775x = 464,195,811,190.50
  5. Step 5: Solve for x
    x = 464,195,811,190.50/785,775
  6. Step 6: Final answer
    x = 590,749.02

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Why These Related Problems?

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