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Finding the Fourth Proportional to 413,466.77, 620,243.04 and 113,947.40

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Solution

The fourth proportional to 413,466.77, 620,243.04 and 113,947.40 is: 170,932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,466.77 : 620,243.04 = 113,947.40 : x
  2. Step 2: Convert to fraction form
    413,466.77/620,243.04 = 113,947.40/x
  3. Step 3: Cross multiply
    413,466.77x = 620,243.04 × 113,947.40
  4. Step 4: Simplify right side
    413,466.77x = 70,675,078,674.88
  5. Step 5: Solve for x
    x = 70,675,078,674.88/413,466.77
  6. Step 6: Final answer
    x = 170,932.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.