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Finding the Fourth Proportional to 541,714.40, 812,701.20 and 261,000.80

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Solution

The fourth proportional to 541,714.40, 812,701.20 and 261,000.80 is: 391,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,714.40 : 812,701.20 = 261,000.80 : x
  2. Step 2: Convert to fraction form
    541,714.40/812,701.20 = 261,000.80/x
  3. Step 3: Cross multiply
    541,714.40x = 812,701.20 × 261,000.80
  4. Step 4: Simplify right side
    541,714.40x = 212,115,663,360.96
  5. Step 5: Solve for x
    x = 212,115,663,360.96/541,714.40
  6. Step 6: Final answer
    x = 391,563.64

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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.