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Finding the Fourth Proportional to 312,335.44, 468,695.86 and 122,762.50

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Solution

The fourth proportional to 312,335.44, 468,695.86 and 122,762.50 is: 184,219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,335.44 : 468,695.86 = 122,762.50 : x
  2. Step 2: Convert to fraction form
    312,335.44/468,695.86 = 122,762.50/x
  3. Step 3: Cross multiply
    312,335.44x = 468,695.86 × 122,762.50
  4. Step 4: Simplify right side
    312,335.44x = 57,538,275,513.25
  5. Step 5: Solve for x
    x = 57,538,275,513.25/312,335.44
  6. Step 6: Final answer
    x = 184,219.49

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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.