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Finding the Fourth Proportional to 275,714.40, 413,648.40 and 135,477.60

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Solution

The fourth proportional to 275,714.40, 413,648.40 and 135,477.60 is: 203,254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,714.40 : 413,648.40 = 135,477.60 : x
  2. Step 2: Convert to fraction form
    275,714.40/413,648.40 = 135,477.60/x
  3. Step 3: Cross multiply
    275,714.40x = 413,648.40 × 135,477.60
  4. Step 4: Simplify right side
    275,714.40x = 56,040,092,475.84
  5. Step 5: Solve for x
    x = 56,040,092,475.84/275,714.40
  6. Step 6: Final answer
    x = 203,254.14

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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.