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Finding the Fourth Proportional to 1,297,906.40, 1,946,859.60 and 766,465.40

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Solution

The fourth proportional to 1,297,906.40, 1,946,859.60 and 766,465.40 is: 1,149,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,906.40 : 1,946,859.60 = 766,465.40 : x
  2. Step 2: Convert to fraction form
    1,297,906.40/1,946,859.60 = 766,465.40/x
  3. Step 3: Cross multiply
    1,297,906.40x = 1,946,859.60 × 766,465.40
  4. Step 4: Simplify right side
    1,297,906.40x = 1,492,200,522,057.84
  5. Step 5: Solve for x
    x = 1,492,200,522,057.84/1,297,906.40
  6. Step 6: Final answer
    x = 1,149,698.10

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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.