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Finding the Fourth Proportional to 413,016.87, 619,711.16 and 223,255.04

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Solution

The fourth proportional to 413,016.87, 619,711.16 and 223,255.04 is: 334,983.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,016.87 : 619,711.16 = 223,255.04 : x
  2. Step 2: Convert to fraction form
    413,016.87/619,711.16 = 223,255.04/x
  3. Step 3: Cross multiply
    413,016.87x = 619,711.16 × 223,255.04
  4. Step 4: Simplify right side
    413,016.87x = 138,353,635,599.42
  5. Step 5: Solve for x
    x = 138,353,635,599.42/413,016.87
  6. Step 6: Final answer
    x = 334,983.01

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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.