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Finding the Fourth Proportional to 863,296.64, 1,295,318.16 and 463,470.56

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Solution

The fourth proportional to 863,296.64, 1,295,318.16 and 463,470.56 is: 695,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,296.64 : 1,295,318.16 = 463,470.56 : x
  2. Step 2: Convert to fraction form
    863,296.64/1,295,318.16 = 463,470.56/x
  3. Step 3: Cross multiply
    863,296.64x = 1,295,318.16 × 463,470.56
  4. Step 4: Simplify right side
    863,296.64x = 600,341,832,993.37
  5. Step 5: Solve for x
    x = 600,341,832,993.37/863,296.64
  6. Step 6: Final answer
    x = 695,406.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.