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Finding the Fourth Proportional to 280,433.60, 420,765.60 and 103,025.60

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Solution

The fourth proportional to 280,433.60, 420,765.60 and 103,025.60 is: 154,580.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,433.60 : 420,765.60 = 103,025.60 : x
  2. Step 2: Convert to fraction form
    280,433.60/420,765.60 = 103,025.60/x
  3. Step 3: Cross multiply
    280,433.60x = 420,765.60 × 103,025.60
  4. Step 4: Simplify right side
    280,433.60x = 43,349,628,399.36
  5. Step 5: Solve for x
    x = 43,349,628,399.36/280,433.60
  6. Step 6: Final answer
    x = 154,580.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.