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Finding the Fourth Proportional to 468,131.63, 646,021.43 and 264,225.32

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Solution

The fourth proportional to 468,131.63, 646,021.43 and 264,225.32 is: 364,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,131.63 : 646,021.43 = 264,225.32 : x
  2. Step 2: Convert to fraction form
    468,131.63/646,021.43 = 264,225.32/x
  3. Step 3: Cross multiply
    468,131.63x = 646,021.43 × 264,225.32
  4. Step 4: Simplify right side
    468,131.63x = 170,695,218,426.22
  5. Step 5: Solve for x
    x = 170,695,218,426.22/468,131.63
  6. Step 6: Final answer
    x = 364,630.82

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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.