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Finding the Fourth Proportional to 567,218.94, 782,778.84 and 312,586.53

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Solution

The fourth proportional to 567,218.94, 782,778.84 and 312,586.53 is: 431,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,218.94 : 782,778.84 = 312,586.53 : x
  2. Step 2: Convert to fraction form
    567,218.94/782,778.84 = 312,586.53/x
  3. Step 3: Cross multiply
    567,218.94x = 782,778.84 × 312,586.53
  4. Step 4: Simplify right side
    567,218.94x = 244,686,121,353.03
  5. Step 5: Solve for x
    x = 244,686,121,353.03/567,218.94
  6. Step 6: Final answer
    x = 431,378.62

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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.