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Finding the Fourth Proportional to 363,420.24, 501,510.99 and 200,075.38

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Solution

The fourth proportional to 363,420.24, 501,510.99 and 200,075.38 is: 276,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,420.24 : 501,510.99 = 200,075.38 : x
  2. Step 2: Convert to fraction form
    363,420.24/501,510.99 = 200,075.38/x
  3. Step 3: Cross multiply
    363,420.24x = 501,510.99 × 200,075.38
  4. Step 4: Simplify right side
    363,420.24x = 100,340,004,215.93
  5. Step 5: Solve for x
    x = 100,340,004,215.93/363,420.24
  6. Step 6: Final answer
    x = 276,099.11

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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.