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Finding the Fourth Proportional to 477,279.77, 715,906.83 and 117,453.83

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Solution

The fourth proportional to 477,279.77, 715,906.83 and 117,453.83 is: 176,177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,279.77 : 715,906.83 = 117,453.83 : x
  2. Step 2: Convert to fraction form
    477,279.77/715,906.83 = 117,453.83/x
  3. Step 3: Cross multiply
    477,279.77x = 715,906.83 × 117,453.83
  4. Step 4: Simplify right side
    477,279.77x = 84,085,999,106.66
  5. Step 5: Solve for x
    x = 84,085,999,106.66/477,279.77
  6. Step 6: Final answer
    x = 176,177.59

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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.