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Finding the Fourth Proportional to 413,562.20, 620,343.30 and 280,851.80

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Solution

The fourth proportional to 413,562.20, 620,343.30 and 280,851.80 is: 421,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,562.20 : 620,343.30 = 280,851.80 : x
  2. Step 2: Convert to fraction form
    413,562.20/620,343.30 = 280,851.80/x
  3. Step 3: Cross multiply
    413,562.20x = 620,343.30 × 280,851.80
  4. Step 4: Simplify right side
    413,562.20x = 174,224,532,422.94
  5. Step 5: Solve for x
    x = 174,224,532,422.94/413,562.20
  6. Step 6: Final answer
    x = 421,277.70

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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.