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Finding the Fourth Proportional to 290,978.92, 436,701.66 and 150,777.64

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Solution

The fourth proportional to 290,978.92, 436,701.66 and 150,777.64 is: 226,287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,978.92 : 436,701.66 = 150,777.64 : x
  2. Step 2: Convert to fraction form
    290,978.92/436,701.66 = 150,777.64/x
  3. Step 3: Cross multiply
    290,978.92x = 436,701.66 × 150,777.64
  4. Step 4: Simplify right side
    290,978.92x = 65,844,845,678.88
  5. Step 5: Solve for x
    x = 65,844,845,678.88/290,978.92
  6. Step 6: Final answer
    x = 226,287.34

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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.