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Finding the Fourth Proportional to 417,817.88, 579,538.54 and 406,743.54

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Solution

The fourth proportional to 417,817.88, 579,538.54 and 406,743.54 is: 564,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,817.88 : 579,538.54 = 406,743.54 : x
  2. Step 2: Convert to fraction form
    417,817.88/579,538.54 = 406,743.54/x
  3. Step 3: Cross multiply
    417,817.88x = 579,538.54 × 406,743.54
  4. Step 4: Simplify right side
    417,817.88x = 235,723,556,190.17
  5. Step 5: Solve for x
    x = 235,723,556,190.17/417,817.88
  6. Step 6: Final answer
    x = 564,177.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.