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Finding the Fourth Proportional to 339,564.80, 509,217.60 and 102,828.80

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Solution

The fourth proportional to 339,564.80, 509,217.60 and 102,828.80 is: 154,203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,564.80 : 509,217.60 = 102,828.80 : x
  2. Step 2: Convert to fraction form
    339,564.80/509,217.60 = 102,828.80/x
  3. Step 3: Cross multiply
    339,564.80x = 509,217.60 × 102,828.80
  4. Step 4: Simplify right side
    339,564.80x = 52,362,234,746.88
  5. Step 5: Solve for x
    x = 52,362,234,746.88/339,564.80
  6. Step 6: Final answer
    x = 154,203.95

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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.