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Finding the Fourth Proportional to 1,098,836.40, 1,646,942.40 and 459,138.90

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Solution

The fourth proportional to 1,098,836.40, 1,646,942.40 and 459,138.90 is: 688,160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,836.40 : 1,646,942.40 = 459,138.90 : x
  2. Step 2: Convert to fraction form
    1,098,836.40/1,646,942.40 = 459,138.90/x
  3. Step 3: Cross multiply
    1,098,836.40x = 1,646,942.40 × 459,138.90
  4. Step 4: Simplify right side
    1,098,836.40x = 756,175,321,899.36
  5. Step 5: Solve for x
    x = 756,175,321,899.36/1,098,836.40
  6. Step 6: Final answer
    x = 688,160.06

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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.