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Finding the Fourth Proportional to 597,980.16, 825,209.28 and 329,708.16

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Solution

The fourth proportional to 597,980.16, 825,209.28 and 329,708.16 is: 454,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,980.16 : 825,209.28 = 329,708.16 : x
  2. Step 2: Convert to fraction form
    597,980.16/825,209.28 = 329,708.16/x
  3. Step 3: Cross multiply
    597,980.16x = 825,209.28 × 329,708.16
  4. Step 4: Simplify right side
    597,980.16x = 272,078,233,323.73
  5. Step 5: Solve for x
    x = 272,078,233,323.73/597,980.16
  6. Step 6: Final answer
    x = 454,995.42

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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.