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Finding the Fourth Proportional to 280,512.40, 420,518.31 and 122,615.86

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Solution

The fourth proportional to 280,512.40, 420,518.31 and 122,615.86 is: 183,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,512.40 : 420,518.31 = 122,615.86 : x
  2. Step 2: Convert to fraction form
    280,512.40/420,518.31 = 122,615.86/x
  3. Step 3: Cross multiply
    280,512.40x = 420,518.31 × 122,615.86
  4. Step 4: Simplify right side
    280,512.40x = 51,562,214,226.40
  5. Step 5: Solve for x
    x = 51,562,214,226.40/280,512.40
  6. Step 6: Final answer
    x = 183,814.38

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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.