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Finding the Fourth Proportional to 387,240.40, 580,104.12 and 253,714.96

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Solution

The fourth proportional to 387,240.40, 580,104.12 and 253,714.96 is: 380,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,240.40 : 580,104.12 = 253,714.96 : x
  2. Step 2: Convert to fraction form
    387,240.40/580,104.12 = 253,714.96/x
  3. Step 3: Cross multiply
    387,240.40x = 580,104.12 × 253,714.96
  4. Step 4: Simplify right side
    387,240.40x = 147,181,093,601.64
  5. Step 5: Solve for x
    x = 147,181,093,601.64/387,240.40
  6. Step 6: Final answer
    x = 380,076.80

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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.