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Finding the Fourth Proportional to 277,294.92, 415,925.96 and 77,610.88

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Solution

The fourth proportional to 277,294.92, 415,925.96 and 77,610.88 is: 116,411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,294.92 : 415,925.96 = 77,610.88 : x
  2. Step 2: Convert to fraction form
    277,294.92/415,925.96 = 77,610.88/x
  3. Step 3: Cross multiply
    277,294.92x = 415,925.96 × 77,610.88
  4. Step 4: Simplify right side
    277,294.92x = 32,280,379,770.44
  5. Step 5: Solve for x
    x = 32,280,379,770.44/277,294.92
  6. Step 6: Final answer
    x = 116,411.72

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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.