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Finding the Fourth Proportional to 320,868, 441,808.80 and 284,995.68

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Solution

The fourth proportional to 320,868, 441,808.80 and 284,995.68 is: 392,415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,868 : 441,808.80 = 284,995.68 : x
  2. Step 2: Convert to fraction form
    320,868/441,808.80 = 284,995.68/x
  3. Step 3: Cross multiply
    320,868x = 441,808.80 × 284,995.68
  4. Step 4: Simplify right side
    320,868x = 125,913,599,385.98
  5. Step 5: Solve for x
    x = 125,913,599,385.98/320,868
  6. Step 6: Final answer
    x = 392,415.57

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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.