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Finding the Fourth Proportional to 406,658.12, 609,814.38 and 166,606.76

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Solution

The fourth proportional to 406,658.12, 609,814.38 and 166,606.76 is: 249,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,658.12 : 609,814.38 = 166,606.76 : x
  2. Step 2: Convert to fraction form
    406,658.12/609,814.38 = 166,606.76/x
  3. Step 3: Cross multiply
    406,658.12x = 609,814.38 × 166,606.76
  4. Step 4: Simplify right side
    406,658.12x = 101,599,198,053.21
  5. Step 5: Solve for x
    x = 101,599,198,053.21/406,658.12
  6. Step 6: Final answer
    x = 249,839.34

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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.