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Finding the Fourth Proportional to 467,993.02, 645,830.24 and 264,042.10

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Solution

The fourth proportional to 467,993.02, 645,830.24 and 264,042.10 is: 364,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,993.02 : 645,830.24 = 264,042.10 : x
  2. Step 2: Convert to fraction form
    467,993.02/645,830.24 = 264,042.10/x
  3. Step 3: Cross multiply
    467,993.02x = 645,830.24 × 264,042.10
  4. Step 4: Simplify right side
    467,993.02x = 170,526,372,813.10
  5. Step 5: Solve for x
    x = 170,526,372,813.10/467,993.02
  6. Step 6: Final answer
    x = 364,378.03

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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.