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Finding the Fourth Proportional to 433,005.88, 649,342.68 and 148,643.44

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Solution

The fourth proportional to 433,005.88, 649,342.68 and 148,643.44 is: 222,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,005.88 : 649,342.68 = 148,643.44 : x
  2. Step 2: Convert to fraction form
    433,005.88/649,342.68 = 148,643.44/x
  3. Step 3: Cross multiply
    433,005.88x = 649,342.68 × 148,643.44
  4. Step 4: Simplify right side
    433,005.88x = 96,520,529,694.02
  5. Step 5: Solve for x
    x = 96,520,529,694.02/433,005.88
  6. Step 6: Final answer
    x = 222,908.13

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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.