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Finding the Fourth Proportional to 277,419.36, 416,813.76 and 177,623.04

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Solution

The fourth proportional to 277,419.36, 416,813.76 and 177,623.04 is: 266,872.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,419.36 : 416,813.76 = 177,623.04 : x
  2. Step 2: Convert to fraction form
    277,419.36/416,813.76 = 177,623.04/x
  3. Step 3: Cross multiply
    277,419.36x = 416,813.76 × 177,623.04
  4. Step 4: Simplify right side
    277,419.36x = 74,035,727,165.03
  5. Step 5: Solve for x
    x = 74,035,727,165.03/277,419.36
  6. Step 6: Final answer
    x = 266,872.97

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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.