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Finding the Fourth Proportional to 298,692.84, 448,039.29 and 88,314.54

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Solution

The fourth proportional to 298,692.84, 448,039.29 and 88,314.54 is: 132,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,692.84 : 448,039.29 = 88,314.54 : x
  2. Step 2: Convert to fraction form
    298,692.84/448,039.29 = 88,314.54/x
  3. Step 3: Cross multiply
    298,692.84x = 448,039.29 × 88,314.54
  4. Step 4: Simplify right side
    298,692.84x = 39,568,383,798.28
  5. Step 5: Solve for x
    x = 39,568,383,798.28/298,692.84
  6. Step 6: Final answer
    x = 132,471.82

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Why These Related Problems?

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