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Finding the Fourth Proportional to 406,031.10, 609,046.65 and 110,543.10

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Solution

The fourth proportional to 406,031.10, 609,046.65 and 110,543.10 is: 165,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,031.10 : 609,046.65 = 110,543.10 : x
  2. Step 2: Convert to fraction form
    406,031.10/609,046.65 = 110,543.10/x
  3. Step 3: Cross multiply
    406,031.10x = 609,046.65 × 110,543.10
  4. Step 4: Simplify right side
    406,031.10x = 67,325,904,735.62
  5. Step 5: Solve for x
    x = 67,325,904,735.62/406,031.10
  6. Step 6: Final answer
    x = 165,814.65

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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.