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Finding the Fourth Proportional to 468,212.60, 646,135.62 and 264,272.16

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Solution

The fourth proportional to 468,212.60, 646,135.62 and 264,272.16 is: 364,696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,212.60 : 646,135.62 = 264,272.16 : x
  2. Step 2: Convert to fraction form
    468,212.60/646,135.62 = 264,272.16/x
  3. Step 3: Cross multiply
    468,212.60x = 646,135.62 × 264,272.16
  4. Step 4: Simplify right side
    468,212.60x = 170,755,655,950.34
  5. Step 5: Solve for x
    x = 170,755,655,950.34/468,212.60
  6. Step 6: Final answer
    x = 364,696.84

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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.