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Finding the Fourth Proportional to 567,319.20, 782,890.36 and 309,198.48

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Solution

The fourth proportional to 567,319.20, 782,890.36 and 309,198.48 is: 426,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,319.20 : 782,890.36 = 309,198.48 : x
  2. Step 2: Convert to fraction form
    567,319.20/782,890.36 = 309,198.48/x
  3. Step 3: Cross multiply
    567,319.20x = 782,890.36 × 309,198.48
  4. Step 4: Simplify right side
    567,319.20x = 242,068,509,318.65
  5. Step 5: Solve for x
    x = 242,068,509,318.65/567,319.20
  6. Step 6: Final answer
    x = 426,688.38

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Why These Related Problems?

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