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Finding the Fourth Proportional to 277,583.62, 416,366.46 and 117,616.81

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Solution

The fourth proportional to 277,583.62, 416,366.46 and 117,616.81 is: 176,421.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,583.62 : 416,366.46 = 117,616.81 : x
  2. Step 2: Convert to fraction form
    277,583.62/416,366.46 = 117,616.81/x
  3. Step 3: Cross multiply
    277,583.62x = 416,366.46 × 117,616.81
  4. Step 4: Simplify right side
    277,583.62x = 48,971,694,816.19
  5. Step 5: Solve for x
    x = 48,971,694,816.19/277,583.62
  6. Step 6: Final answer
    x = 176,421.41

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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.