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Finding the Fourth Proportional to 517,146.99, 776,447.06 and 264,608.57

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Solution

The fourth proportional to 517,146.99, 776,447.06 and 264,608.57 is: 397,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,146.99 : 776,447.06 = 264,608.57 : x
  2. Step 2: Convert to fraction form
    517,146.99/776,447.06 = 264,608.57/x
  3. Step 3: Cross multiply
    517,146.99x = 776,447.06 × 264,608.57
  4. Step 4: Simplify right side
    517,146.99x = 205,454,541,022.03
  5. Step 5: Solve for x
    x = 205,454,541,022.03/517,146.99
  6. Step 6: Final answer
    x = 397,284.61

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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.