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Finding the Fourth Proportional to 413,617.60, 619,770.30 and 273,212.20

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Solution

The fourth proportional to 413,617.60, 619,770.30 and 273,212.20 is: 409,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,617.60 : 619,770.30 = 273,212.20 : x
  2. Step 2: Convert to fraction form
    413,617.60/619,770.30 = 273,212.20/x
  3. Step 3: Cross multiply
    413,617.60x = 619,770.30 × 273,212.20
  4. Step 4: Simplify right side
    413,617.60x = 169,328,807,157.66
  5. Step 5: Solve for x
    x = 169,328,807,157.66/413,617.60
  6. Step 6: Final answer
    x = 409,384.92

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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.