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Finding the Fourth Proportional to 320,037.30, 441,645.12 and 176,796

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Solution

The fourth proportional to 320,037.30, 441,645.12 and 176,796 is: 243,974.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,037.30 : 441,645.12 = 176,796 : x
  2. Step 2: Convert to fraction form
    320,037.30/441,645.12 = 176,796/x
  3. Step 3: Cross multiply
    320,037.30x = 441,645.12 × 176,796
  4. Step 4: Simplify right side
    320,037.30x = 78,081,090,635.52
  5. Step 5: Solve for x
    x = 78,081,090,635.52/320,037.30
  6. Step 6: Final answer
    x = 243,974.97

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