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Finding the Fourth Proportional to 413,744.42, 619,460.33 and 223,523.26

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Solution

The fourth proportional to 413,744.42, 619,460.33 and 223,523.26 is: 334,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,744.42 : 619,460.33 = 223,523.26 : x
  2. Step 2: Convert to fraction form
    413,744.42/619,460.33 = 223,523.26/x
  3. Step 3: Cross multiply
    413,744.42x = 619,460.33 × 223,523.26
  4. Step 4: Simplify right side
    413,744.42x = 138,463,792,402.28
  5. Step 5: Solve for x
    x = 138,463,792,402.28/413,744.42
  6. Step 6: Final answer
    x = 334,660.20

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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.