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Finding the Fourth Proportional to 340,034.20, 510,051.30 and 279,899.80

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Solution

The fourth proportional to 340,034.20, 510,051.30 and 279,899.80 is: 419,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,034.20 : 510,051.30 = 279,899.80 : x
  2. Step 2: Convert to fraction form
    340,034.20/510,051.30 = 279,899.80/x
  3. Step 3: Cross multiply
    340,034.20x = 510,051.30 × 279,899.80
  4. Step 4: Simplify right side
    340,034.20x = 142,763,256,859.74
  5. Step 5: Solve for x
    x = 142,763,256,859.74/340,034.20
  6. Step 6: Final answer
    x = 419,849.70

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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.