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Finding the Fourth Proportional to 340,045.20, 510,067.80 and 204,742.80

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Solution

The fourth proportional to 340,045.20, 510,067.80 and 204,742.80 is: 307,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,045.20 : 510,067.80 = 204,742.80 : x
  2. Step 2: Convert to fraction form
    340,045.20/510,067.80 = 204,742.80/x
  3. Step 3: Cross multiply
    340,045.20x = 510,067.80 × 204,742.80
  4. Step 4: Simplify right side
    340,045.20x = 104,432,709,561.84
  5. Step 5: Solve for x
    x = 104,432,709,561.84/340,045.20
  6. Step 6: Final answer
    x = 307,114.20

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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.