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Finding the Fourth Proportional to 567,311.19, 782,887.86 and 312,662.31

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Solution

The fourth proportional to 567,311.19, 782,887.86 and 312,662.31 is: 431,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,311.19 : 782,887.86 = 312,662.31 : x
  2. Step 2: Convert to fraction form
    567,311.19/782,887.86 = 312,662.31/x
  3. Step 3: Cross multiply
    567,311.19x = 782,887.86 × 312,662.31
  4. Step 4: Simplify right side
    567,311.19x = 244,779,526,778.56
  5. Step 5: Solve for x
    x = 244,779,526,778.56/567,311.19
  6. Step 6: Final answer
    x = 431,473.12

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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.