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Finding the Fourth Proportional to 3,163,294.40, 4,741,442.40 and 1,744,368.80

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Solution

The fourth proportional to 3,163,294.40, 4,741,442.40 and 1,744,368.80 is: 2,614,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163,294.40 : 4,741,442.40 = 1,744,368.80 : x
  2. Step 2: Convert to fraction form
    3,163,294.40/4,741,442.40 = 1,744,368.80/x
  3. Step 3: Cross multiply
    3,163,294.40x = 4,741,442.40 × 1,744,368.80
  4. Step 4: Simplify right side
    3,163,294.40x = 8,270,824,189,557.12
  5. Step 5: Solve for x
    x = 8,270,824,189,557.12/3,163,294.40
  6. Step 6: Final answer
    x = 2,614,623.60

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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.