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Finding the Fourth Proportional to 433,075.98, 649,803.87 and 205,535.94

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Solution

The fourth proportional to 433,075.98, 649,803.87 and 205,535.94 is: 308,394.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,075.98 : 649,803.87 = 205,535.94 : x
  2. Step 2: Convert to fraction form
    433,075.98/649,803.87 = 205,535.94/x
  3. Step 3: Cross multiply
    433,075.98x = 649,803.87 × 205,535.94
  4. Step 4: Simplify right side
    433,075.98x = 133,558,049,236.09
  5. Step 5: Solve for x
    x = 133,558,049,236.09/433,075.98
  6. Step 6: Final answer
    x = 308,394.04

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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.