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Finding the Fourth Proportional to 433,498.08, 650,433.96 and 180,828.34

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Solution

The fourth proportional to 433,498.08, 650,433.96 and 180,828.34 is: 271,320.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,498.08 : 650,433.96 = 180,828.34 : x
  2. Step 2: Convert to fraction form
    433,498.08/650,433.96 = 180,828.34/x
  3. Step 3: Cross multiply
    433,498.08x = 650,433.96 × 180,828.34
  4. Step 4: Simplify right side
    433,498.08x = 117,616,890,979.96
  5. Step 5: Solve for x
    x = 117,616,890,979.96/433,498.08
  6. Step 6: Final answer
    x = 271,320.44

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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.