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Finding the Fourth Proportional to 420,507.07, 580,245.49 and 236,722.42

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Solution

The fourth proportional to 420,507.07, 580,245.49 and 236,722.42 is: 326,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,507.07 : 580,245.49 = 236,722.42 : x
  2. Step 2: Convert to fraction form
    420,507.07/580,245.49 = 236,722.42/x
  3. Step 3: Cross multiply
    420,507.07x = 580,245.49 × 236,722.42
  4. Step 4: Simplify right side
    420,507.07x = 137,357,116,586.89
  5. Step 5: Solve for x
    x = 137,357,116,586.89/420,507.07
  6. Step 6: Final answer
    x = 326,646.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.