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Finding the Fourth Proportional to 296,447.83, 409,097.92 and 160,481.68

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Solution

The fourth proportional to 296,447.83, 409,097.92 and 160,481.68 is: 221,464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,447.83 : 409,097.92 = 160,481.68 : x
  2. Step 2: Convert to fraction form
    296,447.83/409,097.92 = 160,481.68/x
  3. Step 3: Cross multiply
    296,447.83x = 409,097.92 × 160,481.68
  4. Step 4: Simplify right side
    296,447.83x = 65,652,720,663.96
  5. Step 5: Solve for x
    x = 65,652,720,663.96/296,447.83
  6. Step 6: Final answer
    x = 221,464.67

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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.