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Finding the Fourth Proportional to 567,035.10, 782,499.69 and 312,395.40

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Solution

The fourth proportional to 567,035.10, 782,499.69 and 312,395.40 is: 431,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,035.10 : 782,499.69 = 312,395.40 : x
  2. Step 2: Convert to fraction form
    567,035.10/782,499.69 = 312,395.40/x
  3. Step 3: Cross multiply
    567,035.10x = 782,499.69 × 312,395.40
  4. Step 4: Simplify right side
    567,035.10x = 244,449,303,657.43
  5. Step 5: Solve for x
    x = 244,449,303,657.43/567,035.10
  6. Step 6: Final answer
    x = 431,100.83

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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.