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Finding the Fourth Proportional to 374,195.20, 561,292.80 and 280,883.20

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Solution

The fourth proportional to 374,195.20, 561,292.80 and 280,883.20 is: 421,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,195.20 : 561,292.80 = 280,883.20 : x
  2. Step 2: Convert to fraction form
    374,195.20/561,292.80 = 280,883.20/x
  3. Step 3: Cross multiply
    374,195.20x = 561,292.80 × 280,883.20
  4. Step 4: Simplify right side
    374,195.20x = 157,657,717,800.96
  5. Step 5: Solve for x
    x = 157,657,717,800.96/374,195.20
  6. Step 6: Final answer
    x = 421,324.80

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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.