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Finding the Fourth Proportional to 442,699.52, 664,189.43 and 158,383.80

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Solution

The fourth proportional to 442,699.52, 664,189.43 and 158,383.80 is: 237,625.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,699.52 : 664,189.43 = 158,383.80 : x
  2. Step 2: Convert to fraction form
    442,699.52/664,189.43 = 158,383.80/x
  3. Step 3: Cross multiply
    442,699.52x = 664,189.43 × 158,383.80
  4. Step 4: Simplify right side
    442,699.52x = 105,196,845,051.32
  5. Step 5: Solve for x
    x = 105,196,845,051.32/442,699.52
  6. Step 6: Final answer
    x = 237,625.84

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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.