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Finding the Fourth Proportional to 468,524.25, 646,513.85 and 264,562.81

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Solution

The fourth proportional to 468,524.25, 646,513.85 and 264,562.81 is: 365,068.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,524.25 : 646,513.85 = 264,562.81 : x
  2. Step 2: Convert to fraction form
    468,524.25/646,513.85 = 264,562.81/x
  3. Step 3: Cross multiply
    468,524.25x = 646,513.85 × 264,562.81
  4. Step 4: Simplify right side
    468,524.25x = 171,043,519,905.04
  5. Step 5: Solve for x
    x = 171,043,519,905.04/468,524.25
  6. Step 6: Final answer
    x = 365,068.66

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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.