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Finding the Fourth Proportional to 295,016.76, 407,122.56 and 160,880.76

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Solution

The fourth proportional to 295,016.76, 407,122.56 and 160,880.76 is: 222,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,016.76 : 407,122.56 = 160,880.76 : x
  2. Step 2: Convert to fraction form
    295,016.76/407,122.56 = 160,880.76/x
  3. Step 3: Cross multiply
    295,016.76x = 407,122.56 × 160,880.76
  4. Step 4: Simplify right side
    295,016.76x = 65,498,186,865.95
  5. Step 5: Solve for x
    x = 65,498,186,865.95/295,016.76
  6. Step 6: Final answer
    x = 222,015.14

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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.