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Finding the Fourth Proportional to 506,059.85, 697,910.29 and 419,882.42

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Solution

The fourth proportional to 506,059.85, 697,910.29 and 419,882.42 is: 579,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,059.85 : 697,910.29 = 419,882.42 : x
  2. Step 2: Convert to fraction form
    506,059.85/697,910.29 = 419,882.42/x
  3. Step 3: Cross multiply
    506,059.85x = 697,910.29 × 419,882.42
  4. Step 4: Simplify right side
    506,059.85x = 293,040,260,639.27
  5. Step 5: Solve for x
    x = 293,040,260,639.27/506,059.85
  6. Step 6: Final answer
    x = 579,062.46

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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.