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Finding the Fourth Proportional to 597,345.40, 824,336.64 and 329,073.40

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Solution

The fourth proportional to 597,345.40, 824,336.64 and 329,073.40 is: 454,121.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,345.40 : 824,336.64 = 329,073.40 : x
  2. Step 2: Convert to fraction form
    597,345.40/824,336.64 = 329,073.40/x
  3. Step 3: Cross multiply
    597,345.40x = 824,336.64 × 329,073.40
  4. Step 4: Simplify right side
    597,345.40x = 271,267,260,869.38
  5. Step 5: Solve for x
    x = 271,267,260,869.38/597,345.40
  6. Step 6: Final answer
    x = 454,121.29

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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.