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Finding the Fourth Proportional to 5,686,987.42, 8,530,481.16 and 1,900,470.30

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Solution

The fourth proportional to 5,686,987.42, 8,530,481.16 and 1,900,470.30 is: 2,850,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686,987.42 : 8,530,481.16 = 1,900,470.30 : x
  2. Step 2: Convert to fraction form
    5,686,987.42/8,530,481.16 = 1,900,470.30/x
  3. Step 3: Cross multiply
    5,686,987.42x = 8,530,481.16 × 1,900,470.30
  4. Step 4: Simplify right side
    5,686,987.42x = 16,211,926,089,289.55
  5. Step 5: Solve for x
    x = 16,211,926,089,289.55/5,686,987.42
  6. Step 6: Final answer
    x = 2,850,705.46

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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.