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Finding the Fourth Proportional to 360,075, 496,903.50 and 201,099

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Solution

The fourth proportional to 360,075, 496,903.50 and 201,099 is: 277,516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,075 : 496,903.50 = 201,099 : x
  2. Step 2: Convert to fraction form
    360,075/496,903.50 = 201,099/x
  3. Step 3: Cross multiply
    360,075x = 496,903.50 × 201,099
  4. Step 4: Simplify right side
    360,075x = 99,926,796,946.50
  5. Step 5: Solve for x
    x = 99,926,796,946.50/360,075
  6. Step 6: Final answer
    x = 277,516.62

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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.