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Finding the Fourth Proportional to 277,664.42, 416,496.68 and 67,302.38

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Solution

The fourth proportional to 277,664.42, 416,496.68 and 67,302.38 is: 100,953.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,664.42 : 416,496.68 = 67,302.38 : x
  2. Step 2: Convert to fraction form
    277,664.42/416,496.68 = 67,302.38/x
  3. Step 3: Cross multiply
    277,664.42x = 416,496.68 × 67,302.38
  4. Step 4: Simplify right side
    277,664.42x = 28,031,217,826.10
  5. Step 5: Solve for x
    x = 28,031,217,826.10/277,664.42
  6. Step 6: Final answer
    x = 100,953.58

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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.