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Finding the Fourth Proportional to 433,187.64, 648,514.44 and 252,721.20

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Solution

The fourth proportional to 433,187.64, 648,514.44 and 252,721.20 is: 378,342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,187.64 : 648,514.44 = 252,721.20 : x
  2. Step 2: Convert to fraction form
    433,187.64/648,514.44 = 252,721.20/x
  3. Step 3: Cross multiply
    433,187.64x = 648,514.44 × 252,721.20
  4. Step 4: Simplify right side
    433,187.64x = 163,893,347,494.13
  5. Step 5: Solve for x
    x = 163,893,347,494.13/433,187.64
  6. Step 6: Final answer
    x = 378,342.62

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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.