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Finding the Fourth Proportional to 512,201.70, 768,302.55 and 477,209.70

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Solution

The fourth proportional to 512,201.70, 768,302.55 and 477,209.70 is: 715,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,201.70 : 768,302.55 = 477,209.70 : x
  2. Step 2: Convert to fraction form
    512,201.70/768,302.55 = 477,209.70/x
  3. Step 3: Cross multiply
    512,201.70x = 768,302.55 × 477,209.70
  4. Step 4: Simplify right side
    512,201.70x = 366,641,429,394.74
  5. Step 5: Solve for x
    x = 366,641,429,394.74/512,201.70
  6. Step 6: Final answer
    x = 715,814.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.