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Finding the Fourth Proportional to 277,734.80, 415,549.20 and 184,422.80

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Solution

The fourth proportional to 277,734.80, 415,549.20 and 184,422.80 is: 275,934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,734.80 : 415,549.20 = 184,422.80 : x
  2. Step 2: Convert to fraction form
    277,734.80/415,549.20 = 184,422.80/x
  3. Step 3: Cross multiply
    277,734.80x = 415,549.20 × 184,422.80
  4. Step 4: Simplify right side
    277,734.80x = 76,636,747,001.76
  5. Step 5: Solve for x
    x = 76,636,747,001.76/277,734.80
  6. Step 6: Final answer
    x = 275,934.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.