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Finding the Fourth Proportional to 380,174.22, 524,639.03 and 205,744.07

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Solution

The fourth proportional to 380,174.22, 524,639.03 and 205,744.07 is: 283,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,174.22 : 524,639.03 = 205,744.07 : x
  2. Step 2: Convert to fraction form
    380,174.22/524,639.03 = 205,744.07/x
  3. Step 3: Cross multiply
    380,174.22x = 524,639.03 × 205,744.07
  4. Step 4: Simplify right side
    380,174.22x = 107,941,365,661.14
  5. Step 5: Solve for x
    x = 107,941,365,661.14/380,174.22
  6. Step 6: Final answer
    x = 283,926.05

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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.