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Finding the Fourth Proportional to 554,996.75, 765,257.06 and 410,012.31

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Solution

The fourth proportional to 554,996.75, 765,257.06 and 410,012.31 is: 565,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,996.75 : 765,257.06 = 410,012.31 : x
  2. Step 2: Convert to fraction form
    554,996.75/765,257.06 = 410,012.31/x
  3. Step 3: Cross multiply
    554,996.75x = 765,257.06 × 410,012.31
  4. Step 4: Simplify right side
    554,996.75x = 313,764,812,864.35
  5. Step 5: Solve for x
    x = 313,764,812,864.35/554,996.75
  6. Step 6: Final answer
    x = 565,345.32

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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.