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Finding the Fourth Proportional to 597,622.64, 824,719.24 and 329,350.64

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Solution

The fourth proportional to 597,622.64, 824,719.24 and 329,350.64 is: 454,503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,622.64 : 824,719.24 = 329,350.64 : x
  2. Step 2: Convert to fraction form
    597,622.64/824,719.24 = 329,350.64/x
  3. Step 3: Cross multiply
    597,622.64x = 824,719.24 × 329,350.64
  4. Step 4: Simplify right side
    597,622.64x = 271,621,809,514.31
  5. Step 5: Solve for x
    x = 271,621,809,514.31/597,622.64
  6. Step 6: Final answer
    x = 454,503.88

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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.