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Finding the Fourth Proportional to 1,723,585.56, 2,584,267.84 and 825,005.60

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Solution

The fourth proportional to 1,723,585.56, 2,584,267.84 and 825,005.60 is: 1,236,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723,585.56 : 2,584,267.84 = 825,005.60 : x
  2. Step 2: Convert to fraction form
    1,723,585.56/2,584,267.84 = 825,005.60/x
  3. Step 3: Cross multiply
    1,723,585.56x = 2,584,267.84 × 825,005.60
  4. Step 4: Simplify right side
    1,723,585.56x = 2,132,035,439,899.90
  5. Step 5: Solve for x
    x = 2,132,035,439,899.90/1,723,585.56
  6. Step 6: Final answer
    x = 1,236,976.85

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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.