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Finding the Fourth Proportional to 682,435.13, 941,760.47 and 380,629.13

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Solution

The fourth proportional to 682,435.13, 941,760.47 and 380,629.13 is: 525,268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,435.13 : 941,760.47 = 380,629.13 : x
  2. Step 2: Convert to fraction form
    682,435.13/941,760.47 = 380,629.13/x
  3. Step 3: Cross multiply
    682,435.13x = 941,760.47 × 380,629.13
  4. Step 4: Simplify right side
    682,435.13x = 358,461,464,607.26
  5. Step 5: Solve for x
    x = 358,461,464,607.26/682,435.13
  6. Step 6: Final answer
    x = 525,268.19

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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.