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Finding the Fourth Proportional to 468,102.77, 645,998.39 and 264,141.80

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Solution

The fourth proportional to 468,102.77, 645,998.39 and 264,141.80 is: 364,525.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,102.77 : 645,998.39 = 264,141.80 : x
  2. Step 2: Convert to fraction form
    468,102.77/645,998.39 = 264,141.80/x
  3. Step 3: Cross multiply
    468,102.77x = 645,998.39 × 264,141.80
  4. Step 4: Simplify right side
    468,102.77x = 170,635,177,531.70
  5. Step 5: Solve for x
    x = 170,635,177,531.70/468,102.77
  6. Step 6: Final answer
    x = 364,525.03

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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.