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Finding the Fourth Proportional to 687,205.56, 948,391.02 and 385,419

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Solution

The fourth proportional to 687,205.56, 948,391.02 and 385,419 is: 531,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,205.56 : 948,391.02 = 385,419 : x
  2. Step 2: Convert to fraction form
    687,205.56/948,391.02 = 385,419/x
  3. Step 3: Cross multiply
    687,205.56x = 948,391.02 × 385,419
  4. Step 4: Simplify right side
    687,205.56x = 365,527,918,537.38
  5. Step 5: Solve for x
    x = 365,527,918,537.38/687,205.56
  6. Step 6: Final answer
    x = 531,904.77

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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.