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Finding the Fourth Proportional to 825,314.40, 1,153,078.20 and 825,314.40

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Solution

The fourth proportional to 825,314.40, 1,153,078.20 and 825,314.40 is: 1,153,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,314.40 : 1,153,078.20 = 825,314.40 : x
  2. Step 2: Convert to fraction form
    825,314.40/1,153,078.20 = 825,314.40/x
  3. Step 3: Cross multiply
    825,314.40x = 1,153,078.20 × 825,314.40
  4. Step 4: Simplify right side
    825,314.40x = 951,652,042,786.08
  5. Step 5: Solve for x
    x = 951,652,042,786.08/825,314.40
  6. Step 6: Final answer
    x = 1,153,078.20

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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.