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Finding the Fourth Proportional to 468,692.78, 646,788.38 and 253,830.96

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Solution

The fourth proportional to 468,692.78, 646,788.38 and 253,830.96 is: 350,282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,692.78 : 646,788.38 = 253,830.96 : x
  2. Step 2: Convert to fraction form
    468,692.78/646,788.38 = 253,830.96/x
  3. Step 3: Cross multiply
    468,692.78x = 646,788.38 × 253,830.96
  4. Step 4: Simplify right side
    468,692.78x = 164,174,914,143.09
  5. Step 5: Solve for x
    x = 164,174,914,143.09/468,692.78
  6. Step 6: Final answer
    x = 350,282.58

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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.