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Finding the Fourth Proportional to 410,232.59, 566,178.04 and 228,956.19

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Solution

The fourth proportional to 410,232.59, 566,178.04 and 228,956.19 is: 315,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,232.59 : 566,178.04 = 228,956.19 : x
  2. Step 2: Convert to fraction form
    410,232.59/566,178.04 = 228,956.19/x
  3. Step 3: Cross multiply
    410,232.59x = 566,178.04 × 228,956.19
  4. Step 4: Simplify right side
    410,232.59x = 129,629,966,900.07
  5. Step 5: Solve for x
    x = 129,629,966,900.07/410,232.59
  6. Step 6: Final answer
    x = 315,991.39

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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.