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Finding the Fourth Proportional to 468,122, 646,024.98 and 264,222.56

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Solution

The fourth proportional to 468,122, 646,024.98 and 264,222.56 is: 364,636.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,122 : 646,024.98 = 264,222.56 : x
  2. Step 2: Convert to fraction form
    468,122/646,024.98 = 264,222.56/x
  3. Step 3: Cross multiply
    468,122x = 646,024.98 × 264,222.56
  4. Step 4: Simplify right side
    468,122x = 170,694,374,039.55
  5. Step 5: Solve for x
    x = 170,694,374,039.55/468,122
  6. Step 6: Final answer
    x = 364,636.51

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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.