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Finding the Fourth Proportional to 567,285.38, 782,853.80 and 312,636.56

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Solution

The fourth proportional to 567,285.38, 782,853.80 and 312,636.56 is: 431,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,285.38 : 782,853.80 = 312,636.56 : x
  2. Step 2: Convert to fraction form
    567,285.38/782,853.80 = 312,636.56/x
  3. Step 3: Cross multiply
    567,285.38x = 782,853.80 × 312,636.56
  4. Step 4: Simplify right side
    567,285.38x = 244,748,719,014.93
  5. Step 5: Solve for x
    x = 244,748,719,014.93/567,285.38
  6. Step 6: Final answer
    x = 431,438.44

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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.