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Finding the Fourth Proportional to 413,157.33, 619,741.44 and 235,452.63

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Solution

The fourth proportional to 413,157.33, 619,741.44 and 235,452.63 is: 353,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,157.33 : 619,741.44 = 235,452.63 : x
  2. Step 2: Convert to fraction form
    413,157.33/619,741.44 = 235,452.63/x
  3. Step 3: Cross multiply
    413,157.33x = 619,741.44 × 235,452.63
  4. Step 4: Simplify right side
    413,157.33x = 145,919,751,967.99
  5. Step 5: Solve for x
    x = 145,919,751,967.99/413,157.33
  6. Step 6: Final answer
    x = 353,182.05

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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.