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Finding the Fourth Proportional to 510,594.41, 765,536.94 and 226,129.95

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Solution

The fourth proportional to 510,594.41, 765,536.94 and 226,129.95 is: 339,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,594.41 : 765,536.94 = 226,129.95 : x
  2. Step 2: Convert to fraction form
    510,594.41/765,536.94 = 226,129.95/x
  3. Step 3: Cross multiply
    510,594.41x = 765,536.94 × 226,129.95
  4. Step 4: Simplify right side
    510,594.41x = 173,110,829,965.35
  5. Step 5: Solve for x
    x = 173,110,829,965.35/510,594.41
  6. Step 6: Final answer
    x = 339,037.85

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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.