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Finding the Fourth Proportional to 430,856.26, 646,279.86 and 111,006.83

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Solution

The fourth proportional to 430,856.26, 646,279.86 and 111,006.83 is: 166,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,856.26 : 646,279.86 = 111,006.83 : x
  2. Step 2: Convert to fraction form
    430,856.26/646,279.86 = 111,006.83/x
  3. Step 3: Cross multiply
    430,856.26x = 646,279.86 × 111,006.83
  4. Step 4: Simplify right side
    430,856.26x = 71,741,478,551.44
  5. Step 5: Solve for x
    x = 71,741,478,551.44/430,856.26
  6. Step 6: Final answer
    x = 166,509.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.