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Finding the Fourth Proportional to 433,663.85, 650,121.54 and 208,714.79

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Solution

The fourth proportional to 433,663.85, 650,121.54 and 208,714.79 is: 312,892.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,663.85 : 650,121.54 = 208,714.79 : x
  2. Step 2: Convert to fraction form
    433,663.85/650,121.54 = 208,714.79/x
  3. Step 3: Cross multiply
    433,663.85x = 650,121.54 × 208,714.79
  4. Step 4: Simplify right side
    433,663.85x = 135,689,977,444.97
  5. Step 5: Solve for x
    x = 135,689,977,444.97/433,663.85
  6. Step 6: Final answer
    x = 312,892.07

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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.