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Finding the Fourth Proportional to 289,026.40, 398,858.22 and 161,701.96

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Solution

The fourth proportional to 289,026.40, 398,858.22 and 161,701.96 is: 223,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,026.40 : 398,858.22 = 161,701.96 : x
  2. Step 2: Convert to fraction form
    289,026.40/398,858.22 = 161,701.96/x
  3. Step 3: Cross multiply
    289,026.40x = 398,858.22 × 161,701.96
  4. Step 4: Simplify right side
    289,026.40x = 64,496,155,936.11
  5. Step 5: Solve for x
    x = 64,496,155,936.11/289,026.40
  6. Step 6: Final answer
    x = 223,149.71

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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.