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Finding the Fourth Proportional to 375,331.84, 517,944 and 205,567.36

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Solution

The fourth proportional to 375,331.84, 517,944 and 205,567.36 is: 283,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,331.84 : 517,944 = 205,567.36 : x
  2. Step 2: Convert to fraction form
    375,331.84/517,944 = 205,567.36/x
  3. Step 3: Cross multiply
    375,331.84x = 517,944 × 205,567.36
  4. Step 4: Simplify right side
    375,331.84x = 106,472,380,707.84
  5. Step 5: Solve for x
    x = 106,472,380,707.84/375,331.84
  6. Step 6: Final answer
    x = 283,675.32

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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.