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Finding the Fourth Proportional to 468,546.10, 646,523.86 and 264,592.97

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Solution

The fourth proportional to 468,546.10, 646,523.86 and 264,592.97 is: 365,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,546.10 : 646,523.86 = 264,592.97 : x
  2. Step 2: Convert to fraction form
    468,546.10/646,523.86 = 264,592.97/x
  3. Step 3: Cross multiply
    468,546.10x = 646,523.86 × 264,592.97
  4. Step 4: Simplify right side
    468,546.10x = 171,065,668,293.26
  5. Step 5: Solve for x
    x = 171,065,668,293.26/468,546.10
  6. Step 6: Final answer
    x = 365,098.91

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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.