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Finding the Fourth Proportional to 298,809.24, 412,356.77 and 164,673.24

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Solution

The fourth proportional to 298,809.24, 412,356.77 and 164,673.24 is: 227,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,809.24 : 412,356.77 = 164,673.24 : x
  2. Step 2: Convert to fraction form
    298,809.24/412,356.77 = 164,673.24/x
  3. Step 3: Cross multiply
    298,809.24x = 412,356.77 × 164,673.24
  4. Step 4: Simplify right side
    298,809.24x = 67,904,124,528.47
  5. Step 5: Solve for x
    x = 67,904,124,528.47/298,809.24
  6. Step 6: Final answer
    x = 227,249.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.