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Finding the Fourth Proportional to 370,938.24, 511,896.24 and 201,175.20

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Solution

The fourth proportional to 370,938.24, 511,896.24 and 201,175.20 is: 277,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,938.24 : 511,896.24 = 201,175.20 : x
  2. Step 2: Convert to fraction form
    370,938.24/511,896.24 = 201,175.20/x
  3. Step 3: Cross multiply
    370,938.24x = 511,896.24 × 201,175.20
  4. Step 4: Simplify right side
    370,938.24x = 102,980,828,461.25
  5. Step 5: Solve for x
    x = 102,980,828,461.25/370,938.24
  6. Step 6: Final answer
    x = 277,622.57

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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.