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Finding the Fourth Proportional to 320,058.36, 441,674.04 and 176,817

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Solution

The fourth proportional to 320,058.36, 441,674.04 and 176,817 is: 244,003.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,058.36 : 441,674.04 = 176,817 : x
  2. Step 2: Convert to fraction form
    320,058.36/441,674.04 = 176,817/x
  3. Step 3: Cross multiply
    320,058.36x = 441,674.04 × 176,817
  4. Step 4: Simplify right side
    320,058.36x = 78,095,478,730.68
  5. Step 5: Solve for x
    x = 78,095,478,730.68/320,058.36
  6. Step 6: Final answer
    x = 244,003.87

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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.