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Finding the Fourth Proportional to 433,426.91, 650,269.16 and 208,722.38

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Solution

The fourth proportional to 433,426.91, 650,269.16 and 208,722.38 is: 313,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,426.91 : 650,269.16 = 208,722.38 : x
  2. Step 2: Convert to fraction form
    433,426.91/650,269.16 = 208,722.38/x
  3. Step 3: Cross multiply
    433,426.91x = 650,269.16 × 208,722.38
  4. Step 4: Simplify right side
    433,426.91x = 135,725,725,672.19
  5. Step 5: Solve for x
    x = 135,725,725,672.19/433,426.91
  6. Step 6: Final answer
    x = 313,145.59

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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.