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Finding the Fourth Proportional to 597,548.16, 824,612.40 and 329,276.16

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Solution

The fourth proportional to 597,548.16, 824,612.40 and 329,276.16 is: 454,398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,548.16 : 824,612.40 = 329,276.16 : x
  2. Step 2: Convert to fraction form
    597,548.16/824,612.40 = 329,276.16/x
  3. Step 3: Cross multiply
    597,548.16x = 824,612.40 × 329,276.16
  4. Step 4: Simplify right side
    597,548.16x = 271,525,204,560.38
  5. Step 5: Solve for x
    x = 271,525,204,560.38/597,548.16
  6. Step 6: Final answer
    x = 454,398.86

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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.