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Finding the Fourth Proportional to 385,481.44, 578,222.16 and 160,947.84

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Solution

The fourth proportional to 385,481.44, 578,222.16 and 160,947.84 is: 241,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,481.44 : 578,222.16 = 160,947.84 : x
  2. Step 2: Convert to fraction form
    385,481.44/578,222.16 = 160,947.84/x
  3. Step 3: Cross multiply
    385,481.44x = 578,222.16 × 160,947.84
  4. Step 4: Simplify right side
    385,481.44x = 93,063,607,692.13
  5. Step 5: Solve for x
    x = 93,063,607,692.13/385,481.44
  6. Step 6: Final answer
    x = 241,421.76

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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.