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Finding the Fourth Proportional to 685,493.05, 946,095.55 and 399,181.95

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Solution

The fourth proportional to 685,493.05, 946,095.55 and 399,181.95 is: 550,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,493.05 : 946,095.55 = 399,181.95 : x
  2. Step 2: Convert to fraction form
    685,493.05/946,095.55 = 399,181.95/x
  3. Step 3: Cross multiply
    685,493.05x = 946,095.55 × 399,181.95
  4. Step 4: Simplify right side
    685,493.05x = 377,664,266,535.32
  5. Step 5: Solve for x
    x = 377,664,266,535.32/685,493.05
  6. Step 6: Final answer
    x = 550,938.14

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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.