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Finding the Fourth Proportional to 362,405.80, 542,571.90 and 362,405.80

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Solution

The fourth proportional to 362,405.80, 542,571.90 and 362,405.80 is: 542,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,405.80 : 542,571.90 = 362,405.80 : x
  2. Step 2: Convert to fraction form
    362,405.80/542,571.90 = 362,405.80/x
  3. Step 3: Cross multiply
    362,405.80x = 542,571.90 × 362,405.80
  4. Step 4: Simplify right side
    362,405.80x = 196,631,203,477.02
  5. Step 5: Solve for x
    x = 196,631,203,477.02/362,405.80
  6. Step 6: Final answer
    x = 542,571.90

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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.