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Finding the Fourth Proportional to 538,423.12, 743,022.32 and 296,705.60

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Solution

The fourth proportional to 538,423.12, 743,022.32 and 296,705.60 is: 409,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,423.12 : 743,022.32 = 296,705.60 : x
  2. Step 2: Convert to fraction form
    538,423.12/743,022.32 = 296,705.60/x
  3. Step 3: Cross multiply
    538,423.12x = 743,022.32 × 296,705.60
  4. Step 4: Simplify right side
    538,423.12x = 220,458,883,268.99
  5. Step 5: Solve for x
    x = 220,458,883,268.99/538,423.12
  6. Step 6: Final answer
    x = 409,452.85

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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.