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Finding the Fourth Proportional to 406,296.59, 609,447.94 and 106,776.65

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Solution

The fourth proportional to 406,296.59, 609,447.94 and 106,776.65 is: 160,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,296.59 : 609,447.94 = 106,776.65 : x
  2. Step 2: Convert to fraction form
    406,296.59/609,447.94 = 106,776.65/x
  3. Step 3: Cross multiply
    406,296.59x = 609,447.94 × 106,776.65
  4. Step 4: Simplify right side
    406,296.59x = 65,074,810,639.28
  5. Step 5: Solve for x
    x = 65,074,810,639.28/406,296.59
  6. Step 6: Final answer
    x = 160,165.78

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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.