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Finding the Fourth Proportional to 1,946,104.04, 2,919,829.98 and 809,479.64

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Solution

The fourth proportional to 1,946,104.04, 2,919,829.98 and 809,479.64 is: 1,214,499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946,104.04 : 2,919,829.98 = 809,479.64 : x
  2. Step 2: Convert to fraction form
    1,946,104.04/2,919,829.98 = 809,479.64/x
  3. Step 3: Cross multiply
    1,946,104.04x = 2,919,829.98 × 809,479.64
  4. Step 4: Simplify right side
    1,946,104.04x = 2,363,542,921,071.61
  5. Step 5: Solve for x
    x = 2,363,542,921,071.61/1,946,104.04
  6. Step 6: Final answer
    x = 1,214,499.78

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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.