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Finding the Fourth Proportional to 272,927.80, 409,391.70 and 202,943.80

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Solution

The fourth proportional to 272,927.80, 409,391.70 and 202,943.80 is: 304,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,927.80 : 409,391.70 = 202,943.80 : x
  2. Step 2: Convert to fraction form
    272,927.80/409,391.70 = 202,943.80/x
  3. Step 3: Cross multiply
    272,927.80x = 409,391.70 × 202,943.80
  4. Step 4: Simplify right side
    272,927.80x = 83,083,507,286.46
  5. Step 5: Solve for x
    x = 83,083,507,286.46/272,927.80
  6. Step 6: Final answer
    x = 304,415.70

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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.