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Finding the Fourth Proportional to 379,658.64, 523,841.88 and 226,667.04

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Solution

The fourth proportional to 379,658.64, 523,841.88 and 226,667.04 is: 312,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,658.64 : 523,841.88 = 226,667.04 : x
  2. Step 2: Convert to fraction form
    379,658.64/523,841.88 = 226,667.04/x
  3. Step 3: Cross multiply
    379,658.64x = 523,841.88 × 226,667.04
  4. Step 4: Simplify right side
    379,658.64x = 118,737,688,367.64
  5. Step 5: Solve for x
    x = 118,737,688,367.64/379,658.64
  6. Step 6: Final answer
    x = 312,748.55

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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.