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Finding the Fourth Proportional to 277,277.65, 415,916.54 and 77,627.44

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Solution

The fourth proportional to 277,277.65, 415,916.54 and 77,627.44 is: 116,441.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,277.65 : 415,916.54 = 77,627.44 : x
  2. Step 2: Convert to fraction form
    277,277.65/415,916.54 = 77,627.44/x
  3. Step 3: Cross multiply
    277,277.65x = 415,916.54 × 77,627.44
  4. Step 4: Simplify right side
    277,277.65x = 32,286,536,676.72
  5. Step 5: Solve for x
    x = 32,286,536,676.72/277,277.65
  6. Step 6: Final answer
    x = 116,441.18

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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.