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Finding the Fourth Proportional to 277,737.64, 416,272.38 and 159,484.84

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Solution

The fourth proportional to 277,737.64, 416,272.38 and 159,484.84 is: 239,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,737.64 : 416,272.38 = 159,484.84 : x
  2. Step 2: Convert to fraction form
    277,737.64/416,272.38 = 159,484.84/x
  3. Step 3: Cross multiply
    277,737.64x = 416,272.38 × 159,484.84
  4. Step 4: Simplify right side
    277,737.64x = 66,389,133,920.72
  5. Step 5: Solve for x
    x = 66,389,133,920.72/277,737.64
  6. Step 6: Final answer
    x = 239,035.42

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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.