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Finding the Fourth Proportional to 277,580.70, 416,565.45 and 119,922.30

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Solution

The fourth proportional to 277,580.70, 416,565.45 and 119,922.30 is: 179,967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,580.70 : 416,565.45 = 119,922.30 : x
  2. Step 2: Convert to fraction form
    277,580.70/416,565.45 = 119,922.30/x
  3. Step 3: Cross multiply
    277,580.70x = 416,565.45 × 119,922.30
  4. Step 4: Simplify right side
    277,580.70x = 49,955,486,864.54
  5. Step 5: Solve for x
    x = 49,955,486,864.54/277,580.70
  6. Step 6: Final answer
    x = 179,967.44

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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.