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Finding the Fourth Proportional to 406,342.56, 560,566.62 and 263,148.72

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Solution

The fourth proportional to 406,342.56, 560,566.62 and 263,148.72 is: 363,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,342.56 : 560,566.62 = 263,148.72 : x
  2. Step 2: Convert to fraction form
    406,342.56/560,566.62 = 263,148.72/x
  3. Step 3: Cross multiply
    406,342.56x = 560,566.62 × 263,148.72
  4. Step 4: Simplify right side
    406,342.56x = 147,512,388,527.73
  5. Step 5: Solve for x
    x = 147,512,388,527.73/406,342.56
  6. Step 6: Final answer
    x = 363,024.71

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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.