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Finding the Fourth Proportional to 277,925.91, 416,893.46 and 78,251.10

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Solution

The fourth proportional to 277,925.91, 416,893.46 and 78,251.10 is: 117,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,925.91 : 416,893.46 = 78,251.10 : x
  2. Step 2: Convert to fraction form
    277,925.91/416,893.46 = 78,251.10/x
  3. Step 3: Cross multiply
    277,925.91x = 416,893.46 × 78,251.10
  4. Step 4: Simplify right side
    277,925.91x = 32,622,371,436.55
  5. Step 5: Solve for x
    x = 32,622,371,436.55/277,925.91
  6. Step 6: Final answer
    x = 117,377.94

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1.5x scale

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.