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Finding the Fourth Proportional to 320,258.88, 441,980.19 and 177,015.87

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Solution

The fourth proportional to 320,258.88, 441,980.19 and 177,015.87 is: 244,294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,258.88 : 441,980.19 = 177,015.87 : x
  2. Step 2: Convert to fraction form
    320,258.88/441,980.19 = 177,015.87/x
  3. Step 3: Cross multiply
    320,258.88x = 441,980.19 × 177,015.87
  4. Step 4: Simplify right side
    320,258.88x = 78,237,507,855.62
  5. Step 5: Solve for x
    x = 78,237,507,855.62/320,258.88
  6. Step 6: Final answer
    x = 244,294.58

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1.5x scale

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.