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Finding the Fourth Proportional to 2,133,743.40, 2,992,217.40 and 2,133,743.40

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Solution

The fourth proportional to 2,133,743.40, 2,992,217.40 and 2,133,743.40 is: 2,992,217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133,743.40 : 2,992,217.40 = 2,133,743.40 : x
  2. Step 2: Convert to fraction form
    2,133,743.40/2,992,217.40 = 2,133,743.40/x
  3. Step 3: Cross multiply
    2,133,743.40x = 2,992,217.40 × 2,133,743.40
  4. Step 4: Simplify right side
    2,133,743.40x = 6,384,624,128,615.16
  5. Step 5: Solve for x
    x = 6,384,624,128,615.16/2,133,743.40
  6. Step 6: Final answer
    x = 2,992,217.40

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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.