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Finding the Fourth Proportional to 275,375.80, 413,063.70 and 264,878.20

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Solution

The fourth proportional to 275,375.80, 413,063.70 and 264,878.20 is: 397,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,375.80 : 413,063.70 = 264,878.20 : x
  2. Step 2: Convert to fraction form
    275,375.80/413,063.70 = 264,878.20/x
  3. Step 3: Cross multiply
    275,375.80x = 413,063.70 × 264,878.20
  4. Step 4: Simplify right side
    275,375.80x = 109,411,569,341.34
  5. Step 5: Solve for x
    x = 109,411,569,341.34/275,375.80
  6. Step 6: Final answer
    x = 397,317.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.