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Finding the Fourth Proportional to 375,533.58, 518,238.36 and 205,773.78

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Solution

The fourth proportional to 375,533.58, 518,238.36 and 205,773.78 is: 283,968.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,533.58 : 518,238.36 = 205,773.78 : x
  2. Step 2: Convert to fraction form
    375,533.58/518,238.36 = 205,773.78/x
  3. Step 3: Cross multiply
    375,533.58x = 518,238.36 × 205,773.78
  4. Step 4: Simplify right side
    375,533.58x = 106,639,866,278.20
  5. Step 5: Solve for x
    x = 106,639,866,278.20/375,533.58
  6. Step 6: Final answer
    x = 283,968.92

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Why These Related Problems?

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