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Finding the Fourth Proportional to 468,145.46, 646,040.40 and 264,239.30

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Solution

The fourth proportional to 468,145.46, 646,040.40 and 264,239.30 is: 364,650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,145.46 : 646,040.40 = 264,239.30 : x
  2. Step 2: Convert to fraction form
    468,145.46/646,040.40 = 264,239.30/x
  3. Step 3: Cross multiply
    468,145.46x = 646,040.40 × 264,239.30
  4. Step 4: Simplify right side
    468,145.46x = 170,709,263,067.72
  5. Step 5: Solve for x
    x = 170,709,263,067.72/468,145.46
  6. Step 6: Final answer
    x = 364,650.05

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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.