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Finding the Fourth Proportional to 2,738,564.40, 4,101,941.70 and 2,738,564.40

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Solution

The fourth proportional to 2,738,564.40, 4,101,941.70 and 2,738,564.40 is: 4,101,941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738,564.40 : 4,101,941.70 = 2,738,564.40 : x
  2. Step 2: Convert to fraction form
    2,738,564.40/4,101,941.70 = 2,738,564.40/x
  3. Step 3: Cross multiply
    2,738,564.40x = 4,101,941.70 × 2,738,564.40
  4. Step 4: Simplify right side
    2,738,564.40x = 11,233,431,510,495.48
  5. Step 5: Solve for x
    x = 11,233,431,510,495.48/2,738,564.40
  6. Step 6: Final answer
    x = 4,101,941.70

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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.