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Finding the Fourth Proportional to 410,508.97, 566,893.66 and 388,144.47

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Solution

The fourth proportional to 410,508.97, 566,893.66 and 388,144.47 is: 536,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,508.97 : 566,893.66 = 388,144.47 : x
  2. Step 2: Convert to fraction form
    410,508.97/566,893.66 = 388,144.47/x
  3. Step 3: Cross multiply
    410,508.97x = 566,893.66 × 388,144.47
  4. Step 4: Simplify right side
    410,508.97x = 220,036,639,207.06
  5. Step 5: Solve for x
    x = 220,036,639,207.06/410,508.97
  6. Step 6: Final answer
    x = 536,009.33

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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.