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Finding the Fourth Proportional to 412,544.68, 569,301.40 and 228,782.18

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Solution

The fourth proportional to 412,544.68, 569,301.40 and 228,782.18 is: 315,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,544.68 : 569,301.40 = 228,782.18 : x
  2. Step 2: Convert to fraction form
    412,544.68/569,301.40 = 228,782.18/x
  3. Step 3: Cross multiply
    412,544.68x = 569,301.40 × 228,782.18
  4. Step 4: Simplify right side
    412,544.68x = 130,246,015,369.05
  5. Step 5: Solve for x
    x = 130,246,015,369.05/412,544.68
  6. Step 6: Final answer
    x = 315,713.72

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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.