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Finding the Fourth Proportional to 548,642.56, 822,216.62 and 308,870.82

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Solution

The fourth proportional to 548,642.56, 822,216.62 and 308,870.82 is: 462,885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,642.56 : 822,216.62 = 308,870.82 : x
  2. Step 2: Convert to fraction form
    548,642.56/822,216.62 = 308,870.82/x
  3. Step 3: Cross multiply
    548,642.56x = 822,216.62 × 308,870.82
  4. Step 4: Simplify right side
    548,642.56x = 253,958,721,637.03
  5. Step 5: Solve for x
    x = 253,958,721,637.03/548,642.56
  6. Step 6: Final answer
    x = 462,885.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.