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Finding the Fourth Proportional to 691,745.40, 954,463.50 and 419,956.38

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Solution

The fourth proportional to 691,745.40, 954,463.50 and 419,956.38 is: 579,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,745.40 : 954,463.50 = 419,956.38 : x
  2. Step 2: Convert to fraction form
    691,745.40/954,463.50 = 419,956.38/x
  3. Step 3: Cross multiply
    691,745.40x = 954,463.50 × 419,956.38
  4. Step 4: Simplify right side
    691,745.40x = 400,833,036,302.13
  5. Step 5: Solve for x
    x = 400,833,036,302.13/691,745.40
  6. Step 6: Final answer
    x = 579,451.68

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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.