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Finding the Fourth Proportional to 597,800.22, 824,954.67 and 325,878.90

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Solution

The fourth proportional to 597,800.22, 824,954.67 and 325,878.90 is: 449,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,800.22 : 824,954.67 = 325,878.90 : x
  2. Step 2: Convert to fraction form
    597,800.22/824,954.67 = 325,878.90/x
  3. Step 3: Cross multiply
    597,800.22x = 824,954.67 × 325,878.90
  4. Step 4: Simplify right side
    597,800.22x = 268,835,320,409.46
  5. Step 5: Solve for x
    x = 268,835,320,409.46/597,800.22
  6. Step 6: Final answer
    x = 449,707.63

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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.