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Finding the Fourth Proportional to 1,465,904.70, 2,198,857.05 and 1,465,904.70

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Solution

The fourth proportional to 1,465,904.70, 2,198,857.05 and 1,465,904.70 is: 2,198,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,904.70 : 2,198,857.05 = 1,465,904.70 : x
  2. Step 2: Convert to fraction form
    1,465,904.70/2,198,857.05 = 1,465,904.70/x
  3. Step 3: Cross multiply
    1,465,904.70x = 2,198,857.05 × 1,465,904.70
  4. Step 4: Simplify right side
    1,465,904.70x = 3,223,314,884,223.14
  5. Step 5: Solve for x
    x = 3,223,314,884,223.14/1,465,904.70
  6. Step 6: Final answer
    x = 2,198,857.05

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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.