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Finding the Fourth Proportional to 597,617.64, 824,712.34 and 329,345.64

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Solution

The fourth proportional to 597,617.64, 824,712.34 and 329,345.64 is: 454,496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,617.64 : 824,712.34 = 329,345.64 : x
  2. Step 2: Convert to fraction form
    597,617.64/824,712.34 = 329,345.64/x
  3. Step 3: Cross multiply
    597,617.64x = 824,712.34 × 329,345.64
  4. Step 4: Simplify right side
    597,617.64x = 271,615,413,433.20
  5. Step 5: Solve for x
    x = 271,615,413,433.20/597,617.64
  6. Step 6: Final answer
    x = 454,496.98

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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.