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Finding the Fourth Proportional to 597,616.48, 824,710.76 and 329,344.48

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Solution

The fourth proportional to 597,616.48, 824,710.76 and 329,344.48 is: 454,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,616.48 : 824,710.76 = 329,344.48 : x
  2. Step 2: Convert to fraction form
    597,616.48/824,710.76 = 329,344.48/x
  3. Step 3: Cross multiply
    597,616.48x = 824,710.76 × 329,344.48
  4. Step 4: Simplify right side
    597,616.48x = 271,613,936,402.61
  5. Step 5: Solve for x
    x = 271,613,936,402.61/597,616.48
  6. Step 6: Final answer
    x = 454,495.39

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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.