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Finding the Fourth Proportional to 406,156.52, 609,234.80 and 110,668.52

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Solution

The fourth proportional to 406,156.52, 609,234.80 and 110,668.52 is: 166,002.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,156.52 : 609,234.80 = 110,668.52 : x
  2. Step 2: Convert to fraction form
    406,156.52/609,234.80 = 110,668.52/x
  3. Step 3: Cross multiply
    406,156.52x = 609,234.80 × 110,668.52
  4. Step 4: Simplify right side
    406,156.52x = 67,423,113,648.50
  5. Step 5: Solve for x
    x = 67,423,113,648.50/406,156.52
  6. Step 6: Final answer
    x = 166,002.79

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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.