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Finding the Fourth Proportional to 320,094.74, 441,748.48 and 176,851.72

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Solution

The fourth proportional to 320,094.74, 441,748.48 and 176,851.72 is: 244,065.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,094.74 : 441,748.48 = 176,851.72 : x
  2. Step 2: Convert to fraction form
    320,094.74/441,748.48 = 176,851.72/x
  3. Step 3: Cross multiply
    320,094.74x = 441,748.48 × 176,851.72
  4. Step 4: Simplify right side
    320,094.74x = 78,123,978,495.39
  5. Step 5: Solve for x
    x = 78,123,978,495.39/320,094.74
  6. Step 6: Final answer
    x = 244,065.17

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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.