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Finding the Fourth Proportional to 320,743.31, 442,639.65 and 177,503.40

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Solution

The fourth proportional to 320,743.31, 442,639.65 and 177,503.40 is: 244,962.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,743.31 : 442,639.65 = 177,503.40 : x
  2. Step 2: Convert to fraction form
    320,743.31/442,639.65 = 177,503.40/x
  3. Step 3: Cross multiply
    320,743.31x = 442,639.65 × 177,503.40
  4. Step 4: Simplify right side
    320,743.31x = 78,570,043,515.45
  5. Step 5: Solve for x
    x = 78,570,043,515.45/320,743.31
  6. Step 6: Final answer
    x = 244,962.38

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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.