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Finding the Fourth Proportional to 597,840, 825,036.48 and 329,585.28

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Solution

The fourth proportional to 597,840, 825,036.48 and 329,585.28 is: 454,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,840 : 825,036.48 = 329,585.28 : x
  2. Step 2: Convert to fraction form
    597,840/825,036.48 = 329,585.28/x
  3. Step 3: Cross multiply
    597,840x = 825,036.48 × 329,585.28
  4. Step 4: Simplify right side
    597,840x = 271,919,879,271.01
  5. Step 5: Solve for x
    x = 271,919,879,271.01/597,840
  6. Step 6: Final answer
    x = 454,837.21

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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.