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Finding the Fourth Proportional to 415,124.41, 572,871.68 and 233,836.34

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Solution

The fourth proportional to 415,124.41, 572,871.68 and 233,836.34 is: 322,694.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,124.41 : 572,871.68 = 233,836.34 : x
  2. Step 2: Convert to fraction form
    415,124.41/572,871.68 = 233,836.34/x
  3. Step 3: Cross multiply
    415,124.41x = 572,871.68 × 233,836.34
  4. Step 4: Simplify right side
    415,124.41x = 133,958,216,940.85
  5. Step 5: Solve for x
    x = 133,958,216,940.85/415,124.41
  6. Step 6: Final answer
    x = 322,694.15

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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.