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Finding the Fourth Proportional to 5,323,169.40, 7,986,722.40 and 1,729,053.60

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Solution

The fourth proportional to 5,323,169.40, 7,986,722.40 and 1,729,053.60 is: 2,594,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323,169.40 : 7,986,722.40 = 1,729,053.60 : x
  2. Step 2: Convert to fraction form
    5,323,169.40/7,986,722.40 = 1,729,053.60/x
  3. Step 3: Cross multiply
    5,323,169.40x = 7,986,722.40 × 1,729,053.60
  4. Step 4: Simplify right side
    5,323,169.40x = 13,809,471,117,920.64
  5. Step 5: Solve for x
    x = 13,809,471,117,920.64/5,323,169.40
  6. Step 6: Final answer
    x = 2,594,219.74

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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.