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Finding the Fourth Proportional to 299,075.16, 448,709.94 and 199,639.56

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Solution

The fourth proportional to 299,075.16, 448,709.94 and 199,639.56 is: 299,524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,075.16 : 448,709.94 = 199,639.56 : x
  2. Step 2: Convert to fraction form
    299,075.16/448,709.94 = 199,639.56/x
  3. Step 3: Cross multiply
    299,075.16x = 448,709.94 × 199,639.56
  4. Step 4: Simplify right side
    299,075.16x = 89,580,254,989.23
  5. Step 5: Solve for x
    x = 89,580,254,989.23/299,075.16
  6. Step 6: Final answer
    x = 299,524.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.