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Finding the Fourth Proportional to 1,846,644.60, 2,769,578.10 and 781,721.40

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Solution

The fourth proportional to 1,846,644.60, 2,769,578.10 and 781,721.40 is: 1,172,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846,644.60 : 2,769,578.10 = 781,721.40 : x
  2. Step 2: Convert to fraction form
    1,846,644.60/2,769,578.10 = 781,721.40/x
  3. Step 3: Cross multiply
    1,846,644.60x = 2,769,578.10 × 781,721.40
  4. Step 4: Simplify right side
    1,846,644.60x = 2,165,038,469,741.34
  5. Step 5: Solve for x
    x = 2,165,038,469,741.34/1,846,644.60
  6. Step 6: Final answer
    x = 1,172,417.51

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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.