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Finding the Fourth Proportional to 295,484.24, 407,769 and 161,348.24

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Solution

The fourth proportional to 295,484.24, 407,769 and 161,348.24 is: 222,660.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,484.24 : 407,769 = 161,348.24 : x
  2. Step 2: Convert to fraction form
    295,484.24/407,769 = 161,348.24/x
  3. Step 3: Cross multiply
    295,484.24x = 407,769 × 161,348.24
  4. Step 4: Simplify right side
    295,484.24x = 65,792,810,476.56
  5. Step 5: Solve for x
    x = 65,792,810,476.56/295,484.24
  6. Step 6: Final answer
    x = 222,660.98

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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.