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Finding the Fourth Proportional to 277,744.40, 416,617.24 and 100,376.72

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Solution

The fourth proportional to 277,744.40, 416,617.24 and 100,376.72 is: 150,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,744.40 : 416,617.24 = 100,376.72 : x
  2. Step 2: Convert to fraction form
    277,744.40/416,617.24 = 100,376.72/x
  3. Step 3: Cross multiply
    277,744.40x = 416,617.24 × 100,376.72
  4. Step 4: Simplify right side
    277,744.40x = 41,818,672,046.65
  5. Step 5: Solve for x
    x = 41,818,672,046.65/277,744.40
  6. Step 6: Final answer
    x = 150,565.31

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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.