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Finding the Fourth Proportional to 450,039.09, 620,761.32 and 288,638.49

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Solution

The fourth proportional to 450,039.09, 620,761.32 and 288,638.49 is: 398,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,039.09 : 620,761.32 = 288,638.49 : x
  2. Step 2: Convert to fraction form
    450,039.09/620,761.32 = 288,638.49/x
  3. Step 3: Cross multiply
    450,039.09x = 620,761.32 × 288,638.49
  4. Step 4: Simplify right side
    450,039.09x = 179,175,610,055.21
  5. Step 5: Solve for x
    x = 179,175,610,055.21/450,039.09
  6. Step 6: Final answer
    x = 398,133.44

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