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Finding the Fourth Proportional to 380,286.84, 524,387.75 and 320,516.13

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Solution

The fourth proportional to 380,286.84, 524,387.75 and 320,516.13 is: 441,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,286.84 : 524,387.75 = 320,516.13 : x
  2. Step 2: Convert to fraction form
    380,286.84/524,387.75 = 320,516.13/x
  3. Step 3: Cross multiply
    380,286.84x = 524,387.75 × 320,516.13
  4. Step 4: Simplify right side
    380,286.84x = 168,074,730,646.83
  5. Step 5: Solve for x
    x = 168,074,730,646.83/380,286.84
  6. Step 6: Final answer
    x = 441,968.31

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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.