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Finding the Fourth Proportional to 406,931.20, 610,396.80 and 185,747.20

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Solution

The fourth proportional to 406,931.20, 610,396.80 and 185,747.20 is: 278,620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,931.20 : 610,396.80 = 185,747.20 : x
  2. Step 2: Convert to fraction form
    406,931.20/610,396.80 = 185,747.20/x
  3. Step 3: Cross multiply
    406,931.20x = 610,396.80 × 185,747.20
  4. Step 4: Simplify right side
    406,931.20x = 113,379,496,488.96
  5. Step 5: Solve for x
    x = 113,379,496,488.96/406,931.20
  6. Step 6: Final answer
    x = 278,620.80

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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.