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Finding the Fourth Proportional to 275,341.80, 413,012.70 and 264,844.20

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Solution

The fourth proportional to 275,341.80, 413,012.70 and 264,844.20 is: 397,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,341.80 : 413,012.70 = 264,844.20 : x
  2. Step 2: Convert to fraction form
    275,341.80/413,012.70 = 264,844.20/x
  3. Step 3: Cross multiply
    275,341.80x = 413,012.70 × 264,844.20
  4. Step 4: Simplify right side
    275,341.80x = 109,384,018,121.34
  5. Step 5: Solve for x
    x = 109,384,018,121.34/275,341.80
  6. Step 6: Final answer
    x = 397,266.30

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1.5x scale

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.