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Finding the Fourth Proportional to 277,153.10, 415,729.65 and 274,528.70

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Solution

The fourth proportional to 277,153.10, 415,729.65 and 274,528.70 is: 411,793.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,153.10 : 415,729.65 = 274,528.70 : x
  2. Step 2: Convert to fraction form
    277,153.10/415,729.65 = 274,528.70/x
  3. Step 3: Cross multiply
    277,153.10x = 415,729.65 × 274,528.70
  4. Step 4: Simplify right side
    277,153.10x = 114,129,720,365.96
  5. Step 5: Solve for x
    x = 114,129,720,365.96/277,153.10
  6. Step 6: Final answer
    x = 411,793.05

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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.