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Finding the Fourth Proportional to 320,039.94, 441,653.72 and 176,799.98

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Solution

The fourth proportional to 320,039.94, 441,653.72 and 176,799.98 is: 243,983.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,039.94 : 441,653.72 = 176,799.98 : x
  2. Step 2: Convert to fraction form
    320,039.94/441,653.72 = 176,799.98/x
  3. Step 3: Cross multiply
    320,039.94x = 441,653.72 × 176,799.98
  4. Step 4: Simplify right side
    320,039.94x = 78,084,368,862.93
  5. Step 5: Solve for x
    x = 78,084,368,862.93/320,039.94
  6. Step 6: Final answer
    x = 243,983.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.