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Finding the Fourth Proportional to 456,409.92, 629,837.92 and 252,460.68

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Solution

The fourth proportional to 456,409.92, 629,837.92 and 252,460.68 is: 348,391.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,409.92 : 629,837.92 = 252,460.68 : x
  2. Step 2: Convert to fraction form
    456,409.92/629,837.92 = 252,460.68/x
  3. Step 3: Cross multiply
    456,409.92x = 629,837.92 × 252,460.68
  4. Step 4: Simplify right side
    456,409.92x = 159,009,309,572.99
  5. Step 5: Solve for x
    x = 159,009,309,572.99/456,409.92
  6. Step 6: Final answer
    x = 348,391.44

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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.