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Finding the Fourth Proportional to 819,692, 1,131,183.60 and 461,996

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Solution

The fourth proportional to 819,692, 1,131,183.60 and 461,996 is: 637,559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,692 : 1,131,183.60 = 461,996 : x
  2. Step 2: Convert to fraction form
    819,692/1,131,183.60 = 461,996/x
  3. Step 3: Cross multiply
    819,692x = 1,131,183.60 × 461,996
  4. Step 4: Simplify right side
    819,692x = 522,602,298,465.60
  5. Step 5: Solve for x
    x = 522,602,298,465.60/819,692
  6. Step 6: Final answer
    x = 637,559.35

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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.