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Finding the Fourth Proportional to 320,203, 441,888.96 and 176,972.32

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Solution

The fourth proportional to 320,203, 441,888.96 and 176,972.32 is: 244,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,203 : 441,888.96 = 176,972.32 : x
  2. Step 2: Convert to fraction form
    320,203/441,888.96 = 176,972.32/x
  3. Step 3: Cross multiply
    320,203x = 441,888.96 × 176,972.32
  4. Step 4: Simplify right side
    320,203x = 78,202,114,433.59
  5. Step 5: Solve for x
    x = 78,202,114,433.59/320,203
  6. Step 6: Final answer
    x = 244,226.68

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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.