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Finding the Fourth Proportional to 289,029.89, 398,861.59 and 161,705.58

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Solution

The fourth proportional to 289,029.89, 398,861.59 and 161,705.58 is: 223,153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,029.89 : 398,861.59 = 161,705.58 : x
  2. Step 2: Convert to fraction form
    289,029.89/398,861.59 = 161,705.58/x
  3. Step 3: Cross multiply
    289,029.89x = 398,861.59 × 161,705.58
  4. Step 4: Simplify right side
    289,029.89x = 64,498,145,852.27
  5. Step 5: Solve for x
    x = 64,498,145,852.27/289,029.89
  6. Step 6: Final answer
    x = 223,153.90

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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.