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Finding the Fourth Proportional to 586,825.31, 809,838.82 and 328,713.27

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Solution

The fourth proportional to 586,825.31, 809,838.82 and 328,713.27 is: 453,635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,825.31 : 809,838.82 = 328,713.27 : x
  2. Step 2: Convert to fraction form
    586,825.31/809,838.82 = 328,713.27/x
  3. Step 3: Cross multiply
    586,825.31x = 809,838.82 × 328,713.27
  4. Step 4: Simplify right side
    586,825.31x = 266,204,766,695.14
  5. Step 5: Solve for x
    x = 266,204,766,695.14/586,825.31
  6. Step 6: Final answer
    x = 453,635.46

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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.