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Finding the Fourth Proportional to 295,348.16, 407,580.40 and 161,212.16

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Solution

The fourth proportional to 295,348.16, 407,580.40 and 161,212.16 is: 222,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,348.16 : 407,580.40 = 161,212.16 : x
  2. Step 2: Convert to fraction form
    295,348.16/407,580.40 = 161,212.16/x
  3. Step 3: Cross multiply
    295,348.16x = 407,580.40 × 161,212.16
  4. Step 4: Simplify right side
    295,348.16x = 65,706,916,657.66
  5. Step 5: Solve for x
    x = 65,706,916,657.66/295,348.16
  6. Step 6: Final answer
    x = 222,472.75

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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.