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Finding the Fourth Proportional to 309,559.77, 427,253.74 and 200,798.89

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Solution

The fourth proportional to 309,559.77, 427,253.74 and 200,798.89 is: 277,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,559.77 : 427,253.74 = 200,798.89 : x
  2. Step 2: Convert to fraction form
    309,559.77/427,253.74 = 200,798.89/x
  3. Step 3: Cross multiply
    309,559.77x = 427,253.74 × 200,798.89
  4. Step 4: Simplify right side
    309,559.77x = 85,792,075,170.22
  5. Step 5: Solve for x
    x = 85,792,075,170.22/309,559.77
  6. Step 6: Final answer
    x = 277,142.20

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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.