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Finding the Fourth Proportional to 415,676.82, 573,585.26 and 234,377.94

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Solution

The fourth proportional to 415,676.82, 573,585.26 and 234,377.94 is: 323,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,676.82 : 573,585.26 = 234,377.94 : x
  2. Step 2: Convert to fraction form
    415,676.82/573,585.26 = 234,377.94/x
  3. Step 3: Cross multiply
    415,676.82x = 573,585.26 × 234,377.94
  4. Step 4: Simplify right side
    415,676.82x = 134,435,731,653.16
  5. Step 5: Solve for x
    x = 134,435,731,653.16/415,676.82
  6. Step 6: Final answer
    x = 323,414.07

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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.