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Finding the Fourth Proportional to 415,825.21, 573,838 and 234,536.59

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Solution

The fourth proportional to 415,825.21, 573,838 and 234,536.59 is: 323,660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,825.21 : 573,838 = 234,536.59 : x
  2. Step 2: Convert to fraction form
    415,825.21/573,838 = 234,536.59/x
  3. Step 3: Cross multiply
    415,825.21x = 573,838 × 234,536.59
  4. Step 4: Simplify right side
    415,825.21x = 134,586,007,732.42
  5. Step 5: Solve for x
    x = 134,586,007,732.42/415,825.21
  6. Step 6: Final answer
    x = 323,660.05

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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.