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Finding the Fourth Proportional to 1,100,513.10, 1,543,517.70 and 1,100,513.10

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Solution

The fourth proportional to 1,100,513.10, 1,543,517.70 and 1,100,513.10 is: 1,543,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,513.10 : 1,543,517.70 = 1,100,513.10 : x
  2. Step 2: Convert to fraction form
    1,100,513.10/1,543,517.70 = 1,100,513.10/x
  3. Step 3: Cross multiply
    1,100,513.10x = 1,543,517.70 × 1,100,513.10
  4. Step 4: Simplify right side
    1,100,513.10x = 1,698,661,448,931.87
  5. Step 5: Solve for x
    x = 1,698,661,448,931.87/1,100,513.10
  6. Step 6: Final answer
    x = 1,543,517.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.