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Finding the Fourth Proportional to 320,970.59, 442,939.38 and 177,730.63

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Solution

The fourth proportional to 320,970.59, 442,939.38 and 177,730.63 is: 245,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,970.59 : 442,939.38 = 177,730.63 : x
  2. Step 2: Convert to fraction form
    320,970.59/442,939.38 = 177,730.63/x
  3. Step 3: Cross multiply
    320,970.59x = 442,939.38 × 177,730.63
  4. Step 4: Simplify right side
    320,970.59x = 78,723,895,059.21
  5. Step 5: Solve for x
    x = 78,723,895,059.21/320,970.59
  6. Step 6: Final answer
    x = 245,268.25

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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.