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Finding the Fourth Proportional to 275,714.30, 413,571.45 and 135,746.30

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Solution

The fourth proportional to 275,714.30, 413,571.45 and 135,746.30 is: 203,619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,714.30 : 413,571.45 = 135,746.30 : x
  2. Step 2: Convert to fraction form
    275,714.30/413,571.45 = 135,746.30/x
  3. Step 3: Cross multiply
    275,714.30x = 413,571.45 × 135,746.30
  4. Step 4: Simplify right side
    275,714.30x = 56,140,794,123.14
  5. Step 5: Solve for x
    x = 56,140,794,123.14/275,714.30
  6. Step 6: Final answer
    x = 203,619.45

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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.