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Finding the Fourth Proportional to 301,785.59, 416,500.32 and 180,993.33

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Solution

The fourth proportional to 301,785.59, 416,500.32 and 180,993.33 is: 249,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,785.59 : 416,500.32 = 180,993.33 : x
  2. Step 2: Convert to fraction form
    301,785.59/416,500.32 = 180,993.33/x
  3. Step 3: Cross multiply
    301,785.59x = 416,500.32 × 180,993.33
  4. Step 4: Simplify right side
    301,785.59x = 75,383,778,352.10
  5. Step 5: Solve for x
    x = 75,383,778,352.10/301,785.59
  6. Step 6: Final answer
    x = 249,792.50

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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.