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Finding the Fourth Proportional to 362,271.33, 543,505.41 and 257,754.60

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Solution

The fourth proportional to 362,271.33, 543,505.41 and 257,754.60 is: 386,701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,271.33 : 543,505.41 = 257,754.60 : x
  2. Step 2: Convert to fraction form
    362,271.33/543,505.41 = 257,754.60/x
  3. Step 3: Cross multiply
    362,271.33x = 543,505.41 × 257,754.60
  4. Step 4: Simplify right side
    362,271.33x = 140,091,019,552.39
  5. Step 5: Solve for x
    x = 140,091,019,552.39/362,271.33
  6. Step 6: Final answer
    x = 386,701.92

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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.