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Finding the Fourth Proportional to 320,980.93, 442,953.41 and 177,740.97

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Solution

The fourth proportional to 320,980.93, 442,953.41 and 177,740.97 is: 245,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,980.93 : 442,953.41 = 177,740.97 : x
  2. Step 2: Convert to fraction form
    320,980.93/442,953.41 = 177,740.97/x
  3. Step 3: Cross multiply
    320,980.93x = 442,953.41 × 177,740.97
  4. Step 4: Simplify right side
    320,980.93x = 78,730,968,758.21
  5. Step 5: Solve for x
    x = 78,730,968,758.21/320,980.93
  6. Step 6: Final answer
    x = 245,282.39

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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.