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Finding the Fourth Proportional to 412,818.41, 569,427.17 and 298,265.37

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Solution

The fourth proportional to 412,818.41, 569,427.17 and 298,265.37 is: 411,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,818.41 : 569,427.17 = 298,265.37 : x
  2. Step 2: Convert to fraction form
    412,818.41/569,427.17 = 298,265.37/x
  3. Step 3: Cross multiply
    412,818.41x = 569,427.17 × 298,265.37
  4. Step 4: Simplify right side
    412,818.41x = 169,840,404,056.78
  5. Step 5: Solve for x
    x = 169,840,404,056.78/412,818.41
  6. Step 6: Final answer
    x = 411,416.74

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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.