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Finding the Fourth Proportional to 296,850.81, 409,655.53 and 160,884.72

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Solution

The fourth proportional to 296,850.81, 409,655.53 and 160,884.72 is: 222,021.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,850.81 : 409,655.53 = 160,884.72 : x
  2. Step 2: Convert to fraction form
    296,850.81/409,655.53 = 160,884.72/x
  3. Step 3: Cross multiply
    296,850.81x = 409,655.53 × 160,884.72
  4. Step 4: Simplify right side
    296,850.81x = 65,907,314,838.29
  5. Step 5: Solve for x
    x = 65,907,314,838.29/296,850.81
  6. Step 6: Final answer
    x = 222,021.67

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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.