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Finding the Fourth Proportional to 468,146.46, 646,041.78 and 264,240.30

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Solution

The fourth proportional to 468,146.46, 646,041.78 and 264,240.30 is: 364,651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,146.46 : 646,041.78 = 264,240.30 : x
  2. Step 2: Convert to fraction form
    468,146.46/646,041.78 = 264,240.30/x
  3. Step 3: Cross multiply
    468,146.46x = 646,041.78 × 264,240.30
  4. Step 4: Simplify right side
    468,146.46x = 170,710,273,759.73
  5. Step 5: Solve for x
    x = 170,710,273,759.73/468,146.46
  6. Step 6: Final answer
    x = 364,651.43

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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.