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Finding the Fourth Proportional to 561,055.39, 842,107.97 and 277,066.61

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Solution

The fourth proportional to 561,055.39, 842,107.97 and 277,066.61 is: 415,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,055.39 : 842,107.97 = 277,066.61 : x
  2. Step 2: Convert to fraction form
    561,055.39/842,107.97 = 277,066.61/x
  3. Step 3: Cross multiply
    561,055.39x = 842,107.97 × 277,066.61
  4. Step 4: Simplify right side
    561,055.39x = 233,320,000,501.88
  5. Step 5: Solve for x
    x = 233,320,000,501.88/561,055.39
  6. Step 6: Final answer
    x = 415,859.12

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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.