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Finding the Fourth Proportional to 277,240.24, 415,796.64 and 77,574.75

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Solution

The fourth proportional to 277,240.24, 415,796.64 and 77,574.75 is: 116,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,240.24 : 415,796.64 = 77,574.75 : x
  2. Step 2: Convert to fraction form
    277,240.24/415,796.64 = 77,574.75/x
  3. Step 3: Cross multiply
    277,240.24x = 415,796.64 × 77,574.75
  4. Step 4: Simplify right side
    277,240.24x = 32,255,320,398.84
  5. Step 5: Solve for x
    x = 32,255,320,398.84/277,240.24
  6. Step 6: Final answer
    x = 116,344.30

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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.