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Finding the Fourth Proportional to 319,796.40, 441,319.69 and 176,556.72

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Solution

The fourth proportional to 319,796.40, 441,319.69 and 176,556.72 is: 243,648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,796.40 : 441,319.69 = 176,556.72 : x
  2. Step 2: Convert to fraction form
    319,796.40/441,319.69 = 176,556.72/x
  3. Step 3: Cross multiply
    319,796.40x = 441,319.69 × 176,556.72
  4. Step 4: Simplify right side
    319,796.40x = 77,917,956,055.03
  5. Step 5: Solve for x
    x = 77,917,956,055.03/319,796.40
  6. Step 6: Final answer
    x = 243,648.63

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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.