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Finding the Fourth Proportional to 366,624.56, 505,941.21 and 205,479.56

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Solution

The fourth proportional to 366,624.56, 505,941.21 and 205,479.56 is: 283,561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,624.56 : 505,941.21 = 205,479.56 : x
  2. Step 2: Convert to fraction form
    366,624.56/505,941.21 = 205,479.56/x
  3. Step 3: Cross multiply
    366,624.56x = 505,941.21 × 205,479.56
  4. Step 4: Simplify right side
    366,624.56x = 103,960,577,216.67
  5. Step 5: Solve for x
    x = 103,960,577,216.67/366,624.56
  6. Step 6: Final answer
    x = 283,561.41

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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.