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Finding the Fourth Proportional to 698,123.88, 963,354.06 and 392,183.64

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Solution

The fourth proportional to 698,123.88, 963,354.06 and 392,183.64 is: 541,181.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,123.88 : 963,354.06 = 392,183.64 : x
  2. Step 2: Convert to fraction form
    698,123.88/963,354.06 = 392,183.64/x
  3. Step 3: Cross multiply
    698,123.88x = 963,354.06 × 392,183.64
  4. Step 4: Simplify right side
    698,123.88x = 377,811,701,859.58
  5. Step 5: Solve for x
    x = 377,811,701,859.58/698,123.88
  6. Step 6: Final answer
    x = 541,181.46

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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.