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Finding the Fourth Proportional to 468,524.93, 646,563.60 and 253,665

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Solution

The fourth proportional to 468,524.93, 646,563.60 and 253,665 is: 350,057.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,524.93 : 646,563.60 = 253,665 : x
  2. Step 2: Convert to fraction form
    468,524.93/646,563.60 = 253,665/x
  3. Step 3: Cross multiply
    468,524.93x = 646,563.60 × 253,665
  4. Step 4: Simplify right side
    468,524.93x = 164,010,555,594
  5. Step 5: Solve for x
    x = 164,010,555,594/468,524.93
  6. Step 6: Final answer
    x = 350,057.27

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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.