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Finding the Fourth Proportional to 296,282.56, 408,867 and 160,313.56

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Solution

The fourth proportional to 296,282.56, 408,867 and 160,313.56 is: 221,231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,282.56 : 408,867 = 160,313.56 : x
  2. Step 2: Convert to fraction form
    296,282.56/408,867 = 160,313.56/x
  3. Step 3: Cross multiply
    296,282.56x = 408,867 × 160,313.56
  4. Step 4: Simplify right side
    296,282.56x = 65,546,924,336.52
  5. Step 5: Solve for x
    x = 65,546,924,336.52/296,282.56
  6. Step 6: Final answer
    x = 221,231.13

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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.