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Finding the Fourth Proportional to 497,321.62, 745,981.74 and 230,936.46

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Solution

The fourth proportional to 497,321.62, 745,981.74 and 230,936.46 is: 346,404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,321.62 : 745,981.74 = 230,936.46 : x
  2. Step 2: Convert to fraction form
    497,321.62/745,981.74 = 230,936.46/x
  3. Step 3: Cross multiply
    497,321.62x = 745,981.74 × 230,936.46
  4. Step 4: Simplify right side
    497,321.62x = 172,274,382,260.24
  5. Step 5: Solve for x
    x = 172,274,382,260.24/497,321.62
  6. Step 6: Final answer
    x = 346,404.37

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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.