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Finding the Fourth Proportional to 320,527, 442,297.53 and 177,283.96

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Solution

The fourth proportional to 320,527, 442,297.53 and 177,283.96 is: 244,635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,527 : 442,297.53 = 177,283.96 : x
  2. Step 2: Convert to fraction form
    320,527/442,297.53 = 177,283.96/x
  3. Step 3: Cross multiply
    320,527x = 442,297.53 × 177,283.96
  4. Step 4: Simplify right side
    320,527x = 78,412,257,616.62
  5. Step 5: Solve for x
    x = 78,412,257,616.62/320,527
  6. Step 6: Final answer
    x = 244,635.42

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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.