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Finding the Fourth Proportional to 301,856.64, 416,564.16 and 188,745.60

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Solution

The fourth proportional to 301,856.64, 416,564.16 and 188,745.60 is: 260,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,856.64 : 416,564.16 = 188,745.60 : x
  2. Step 2: Convert to fraction form
    301,856.64/416,564.16 = 188,745.60/x
  3. Step 3: Cross multiply
    301,856.64x = 416,564.16 × 188,745.60
  4. Step 4: Simplify right side
    301,856.64x = 78,624,652,317.70
  5. Step 5: Solve for x
    x = 78,624,652,317.70/301,856.64
  6. Step 6: Final answer
    x = 260,470.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.