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Finding the Fourth Proportional to 1,212,824.70, 1,700,442.90 and 1,212,824.70

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Solution

The fourth proportional to 1,212,824.70, 1,700,442.90 and 1,212,824.70 is: 1,700,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,824.70 : 1,700,442.90 = 1,212,824.70 : x
  2. Step 2: Convert to fraction form
    1,212,824.70/1,700,442.90 = 1,212,824.70/x
  3. Step 3: Cross multiply
    1,212,824.70x = 1,700,442.90 × 1,212,824.70
  4. Step 4: Simplify right side
    1,212,824.70x = 2,062,339,150,059.63
  5. Step 5: Solve for x
    x = 2,062,339,150,059.63/1,212,824.70
  6. Step 6: Final answer
    x = 1,700,442.90

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Why These Related Problems?

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