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Finding the Fourth Proportional to 496,254.86, 744,456.10 and 230,042.28

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Solution

The fourth proportional to 496,254.86, 744,456.10 and 230,042.28 is: 345,097.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,254.86 : 744,456.10 = 230,042.28 : x
  2. Step 2: Convert to fraction form
    496,254.86/744,456.10 = 230,042.28/x
  3. Step 3: Cross multiply
    496,254.86x = 744,456.10 × 230,042.28
  4. Step 4: Simplify right side
    496,254.86x = 171,256,378,603.91
  5. Step 5: Solve for x
    x = 171,256,378,603.91/496,254.86
  6. Step 6: Final answer
    x = 345,097.64

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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.