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Finding the Fourth Proportional to 375,524, 518,223.12 and 205,764.56

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Solution

The fourth proportional to 375,524, 518,223.12 and 205,764.56 is: 283,955.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,524 : 518,223.12 = 205,764.56 : x
  2. Step 2: Convert to fraction form
    375,524/518,223.12 = 205,764.56/x
  3. Step 3: Cross multiply
    375,524x = 518,223.12 × 205,764.56
  4. Step 4: Simplify right side
    375,524x = 106,631,952,268.63
  5. Step 5: Solve for x
    x = 106,631,952,268.63/375,524
  6. Step 6: Final answer
    x = 283,955.09

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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.