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Finding the Fourth Proportional to 468,528.26, 646,519.38 and 264,566.80

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Solution

The fourth proportional to 468,528.26, 646,519.38 and 264,566.80 is: 365,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,528.26 : 646,519.38 = 264,566.80 : x
  2. Step 2: Convert to fraction form
    468,528.26/646,519.38 = 264,566.80/x
  3. Step 3: Cross multiply
    468,528.26x = 646,519.38 × 264,566.80
  4. Step 4: Simplify right side
    468,528.26x = 171,047,563,504.58
  5. Step 5: Solve for x
    x = 171,047,563,504.58/468,528.26
  6. Step 6: Final answer
    x = 365,074.17

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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.