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Finding the Fourth Proportional to 406,437.70, 610,002.15 and 182,143.30

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Solution

The fourth proportional to 406,437.70, 610,002.15 and 182,143.30 is: 273,369.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,437.70 : 610,002.15 = 182,143.30 : x
  2. Step 2: Convert to fraction form
    406,437.70/610,002.15 = 182,143.30/x
  3. Step 3: Cross multiply
    406,437.70x = 610,002.15 × 182,143.30
  4. Step 4: Simplify right side
    406,437.70x = 111,107,804,608.10
  5. Step 5: Solve for x
    x = 111,107,804,608.10/406,437.70
  6. Step 6: Final answer
    x = 273,369.83

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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.