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Finding the Fourth Proportional to 723,093.62, 997,901.78 and 413,023.46

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Solution

The fourth proportional to 723,093.62, 997,901.78 and 413,023.46 is: 569,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,093.62 : 997,901.78 = 413,023.46 : x
  2. Step 2: Convert to fraction form
    723,093.62/997,901.78 = 413,023.46/x
  3. Step 3: Cross multiply
    723,093.62x = 997,901.78 × 413,023.46
  4. Step 4: Simplify right side
    723,093.62x = 412,156,838,861.13
  5. Step 5: Solve for x
    x = 412,156,838,861.13/723,093.62
  6. Step 6: Final answer
    x = 569,990.98

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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.