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Finding the Fourth Proportional to 597,635.73, 824,737.32 and 329,363.73

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Solution

The fourth proportional to 597,635.73, 824,737.32 and 329,363.73 is: 454,521.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,635.73 : 824,737.32 = 329,363.73 : x
  2. Step 2: Convert to fraction form
    597,635.73/824,737.32 = 329,363.73/x
  3. Step 3: Cross multiply
    597,635.73x = 824,737.32 × 329,363.73
  4. Step 4: Simplify right side
    597,635.73x = 271,638,559,985.40
  5. Step 5: Solve for x
    x = 271,638,559,985.40/597,635.73
  6. Step 6: Final answer
    x = 454,521.95

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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.