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Finding the Fourth Proportional to 415,866.54, 573,871.92 and 234,567.66

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Solution

The fourth proportional to 415,866.54, 573,871.92 and 234,567.66 is: 323,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,866.54 : 573,871.92 = 234,567.66 : x
  2. Step 2: Convert to fraction form
    415,866.54/573,871.92 = 234,567.66/x
  3. Step 3: Cross multiply
    415,866.54x = 573,871.92 × 234,567.66
  4. Step 4: Simplify right side
    415,866.54x = 134,611,793,414.11
  5. Step 5: Solve for x
    x = 134,611,793,414.11/415,866.54
  6. Step 6: Final answer
    x = 323,689.89

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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.