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Finding the Fourth Proportional to 513,013.20, 707,945.86 and 280,429.80

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Solution

The fourth proportional to 513,013.20, 707,945.86 and 280,429.80 is: 386,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,013.20 : 707,945.86 = 280,429.80 : x
  2. Step 2: Convert to fraction form
    513,013.20/707,945.86 = 280,429.80/x
  3. Step 3: Cross multiply
    513,013.20x = 707,945.86 × 280,429.80
  4. Step 4: Simplify right side
    513,013.20x = 198,529,115,930.63
  5. Step 5: Solve for x
    x = 198,529,115,930.63/513,013.20
  6. Step 6: Final answer
    x = 386,986.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.