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Finding the Fourth Proportional to 397,998.60, 596,123.10 and 161,219.40

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Solution

The fourth proportional to 397,998.60, 596,123.10 and 161,219.40 is: 241,474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,998.60 : 596,123.10 = 161,219.40 : x
  2. Step 2: Convert to fraction form
    397,998.60/596,123.10 = 161,219.40/x
  3. Step 3: Cross multiply
    397,998.60x = 596,123.10 × 161,219.40
  4. Step 4: Simplify right side
    397,998.60x = 96,106,608,508.14
  5. Step 5: Solve for x
    x = 96,106,608,508.14/397,998.60
  6. Step 6: Final answer
    x = 241,474.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.