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Finding the Fourth Proportional to 415,865.34, 573,893.46 and 234,576.72

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Solution

The fourth proportional to 415,865.34, 573,893.46 and 234,576.72 is: 323,715.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,865.34 : 573,893.46 = 234,576.72 : x
  2. Step 2: Convert to fraction form
    415,865.34/573,893.46 = 234,576.72/x
  3. Step 3: Cross multiply
    415,865.34x = 573,893.46 × 234,576.72
  4. Step 4: Simplify right side
    415,865.34x = 134,622,045,476.25
  5. Step 5: Solve for x
    x = 134,622,045,476.25/415,865.34
  6. Step 6: Final answer
    x = 323,715.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.