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Finding the Fourth Proportional to 433,663.83, 650,121.54 and 208,714.80

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Solution

The fourth proportional to 433,663.83, 650,121.54 and 208,714.80 is: 312,892.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,663.83 : 650,121.54 = 208,714.80 : x
  2. Step 2: Convert to fraction form
    433,663.83/650,121.54 = 208,714.80/x
  3. Step 3: Cross multiply
    433,663.83x = 650,121.54 × 208,714.80
  4. Step 4: Simplify right side
    433,663.83x = 135,689,987,196.79
  5. Step 5: Solve for x
    x = 135,689,987,196.79/433,663.83
  6. Step 6: Final answer
    x = 312,892.10

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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.