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Finding the Fourth Proportional to 646,167.40, 966,947.10 and 409,623.40

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Solution

The fourth proportional to 646,167.40, 966,947.10 and 409,623.40 is: 612,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,167.40 : 966,947.10 = 409,623.40 : x
  2. Step 2: Convert to fraction form
    646,167.40/966,947.10 = 409,623.40/x
  3. Step 3: Cross multiply
    646,167.40x = 966,947.10 × 409,623.40
  4. Step 4: Simplify right side
    646,167.40x = 396,084,158,722.14
  5. Step 5: Solve for x
    x = 396,084,158,722.14/646,167.40
  6. Step 6: Final answer
    x = 612,974.53

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