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Finding the Fourth Proportional to 785,909, 1,084,554.42 and 428,213

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Solution

The fourth proportional to 785,909, 1,084,554.42 and 428,213 is: 590,933.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,909 : 1,084,554.42 = 428,213 : x
  2. Step 2: Convert to fraction form
    785,909/1,084,554.42 = 428,213/x
  3. Step 3: Cross multiply
    785,909x = 1,084,554.42 × 428,213
  4. Step 4: Simplify right side
    785,909x = 464,420,301,851.46
  5. Step 5: Solve for x
    x = 464,420,301,851.46/785,909
  6. Step 6: Final answer
    x = 590,933.94

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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.