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Finding the Fourth Proportional to 277,633.24, 416,451 and 77,955.28

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Solution

The fourth proportional to 277,633.24, 416,451 and 77,955.28 is: 116,933.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,633.24 : 416,451 = 77,955.28 : x
  2. Step 2: Convert to fraction form
    277,633.24/416,451 = 77,955.28/x
  3. Step 3: Cross multiply
    277,633.24x = 416,451 × 77,955.28
  4. Step 4: Simplify right side
    277,633.24x = 32,464,554,311.28
  5. Step 5: Solve for x
    x = 32,464,554,311.28/277,633.24
  6. Step 6: Final answer
    x = 116,933.24

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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.