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Finding the Fourth Proportional to 362,219.52, 499,858.56 and 201,075.84

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Solution

The fourth proportional to 362,219.52, 499,858.56 and 201,075.84 is: 277,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,219.52 : 499,858.56 = 201,075.84 : x
  2. Step 2: Convert to fraction form
    362,219.52/499,858.56 = 201,075.84/x
  3. Step 3: Cross multiply
    362,219.52x = 499,858.56 × 201,075.84
  4. Step 4: Simplify right side
    362,219.52x = 100,509,479,833.19
  5. Step 5: Solve for x
    x = 100,509,479,833.19/362,219.52
  6. Step 6: Final answer
    x = 277,482.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.