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Finding the Fourth Proportional to 413,157.38, 618,407.44 and 213,205.42

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Solution

The fourth proportional to 413,157.38, 618,407.44 and 213,205.42 is: 319,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,157.38 : 618,407.44 = 213,205.42 : x
  2. Step 2: Convert to fraction form
    413,157.38/618,407.44 = 213,205.42/x
  3. Step 3: Cross multiply
    413,157.38x = 618,407.44 × 213,205.42
  4. Step 4: Simplify right side
    413,157.38x = 131,847,817,976.33
  5. Step 5: Solve for x
    x = 131,847,817,976.33/413,157.38
  6. Step 6: Final answer
    x = 319,122.50

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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.