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Finding the Fourth Proportional to 320,202, 441,887.58 and 176,971.32

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Solution

The fourth proportional to 320,202, 441,887.58 and 176,971.32 is: 244,225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,202 : 441,887.58 = 176,971.32 : x
  2. Step 2: Convert to fraction form
    320,202/441,887.58 = 176,971.32/x
  3. Step 3: Cross multiply
    320,202x = 441,887.58 × 176,971.32
  4. Step 4: Simplify right side
    320,202x = 78,201,428,324.21
  5. Step 5: Solve for x
    x = 78,201,428,324.21/320,202
  6. Step 6: Final answer
    x = 244,225.30

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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.