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Finding the Fourth Proportional to 278,415.74, 417,669.78 and 91,383.50

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Solution

The fourth proportional to 278,415.74, 417,669.78 and 91,383.50 is: 137,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,415.74 : 417,669.78 = 91,383.50 : x
  2. Step 2: Convert to fraction form
    278,415.74/417,669.78 = 91,383.50/x
  3. Step 3: Cross multiply
    278,415.74x = 417,669.78 × 91,383.50
  4. Step 4: Simplify right side
    278,415.74x = 38,168,126,340.63
  5. Step 5: Solve for x
    x = 38,168,126,340.63/278,415.74
  6. Step 6: Final answer
    x = 137,090.40

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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.