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Finding the Fourth Proportional to 510,459.08, 765,709.76 and 150,629.94

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Solution

The fourth proportional to 510,459.08, 765,709.76 and 150,629.94 is: 225,951.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,459.08 : 765,709.76 = 150,629.94 : x
  2. Step 2: Convert to fraction form
    510,459.08/765,709.76 = 150,629.94/x
  3. Step 3: Cross multiply
    510,459.08x = 765,709.76 × 150,629.94
  4. Step 4: Simplify right side
    510,459.08x = 115,338,815,206.21
  5. Step 5: Solve for x
    x = 115,338,815,206.21/510,459.08
  6. Step 6: Final answer
    x = 225,951.15

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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.