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Finding the Fourth Proportional to 320,035.64, 441,632.86 and 176,767.97

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Solution

The fourth proportional to 320,035.64, 441,632.86 and 176,767.97 is: 243,930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,035.64 : 441,632.86 = 176,767.97 : x
  2. Step 2: Convert to fraction form
    320,035.64/441,632.86 = 176,767.97/x
  3. Step 3: Cross multiply
    320,035.64x = 441,632.86 × 176,767.97
  4. Step 4: Simplify right side
    320,035.64x = 78,066,541,497.41
  5. Step 5: Solve for x
    x = 78,066,541,497.41/320,035.64
  6. Step 6: Final answer
    x = 243,930.78

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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.