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Finding the Fourth Proportional to 468,181.76, 646,043.84 and 264,214.40

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Solution

The fourth proportional to 468,181.76, 646,043.84 and 264,214.40 is: 364,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,181.76 : 646,043.84 = 264,214.40 : x
  2. Step 2: Convert to fraction form
    468,181.76/646,043.84 = 264,214.40/x
  3. Step 3: Cross multiply
    468,181.76x = 646,043.84 × 264,214.40
  4. Step 4: Simplify right side
    468,181.76x = 170,694,085,559.30
  5. Step 5: Solve for x
    x = 170,694,085,559.30/468,181.76
  6. Step 6: Final answer
    x = 364,589.35

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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.