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Finding the Fourth Proportional to 406,438.70, 610,003.65 and 182,144.30

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Solution

The fourth proportional to 406,438.70, 610,003.65 and 182,144.30 is: 273,371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,438.70 : 610,003.65 = 182,144.30 : x
  2. Step 2: Convert to fraction form
    406,438.70/610,003.65 = 182,144.30/x
  3. Step 3: Cross multiply
    406,438.70x = 610,003.65 × 182,144.30
  4. Step 4: Simplify right side
    406,438.70x = 111,108,687,826.70
  5. Step 5: Solve for x
    x = 111,108,687,826.70/406,438.70
  6. Step 6: Final answer
    x = 273,371.33

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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.