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Finding the Fourth Proportional to 362,005.80, 542,474.10 and 262,375.80

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Solution

The fourth proportional to 362,005.80, 542,474.10 and 262,375.80 is: 393,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,005.80 : 542,474.10 = 262,375.80 : x
  2. Step 2: Convert to fraction form
    362,005.80/542,474.10 = 262,375.80/x
  3. Step 3: Cross multiply
    362,005.80x = 542,474.10 × 262,375.80
  4. Step 4: Simplify right side
    362,005.80x = 142,332,075,966.78
  5. Step 5: Solve for x
    x = 142,332,075,966.78/362,005.80
  6. Step 6: Final answer
    x = 393,176.23

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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.