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Finding the Fourth Proportional to 470,074.81, 648,704.55 and 255,215.83

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Solution

The fourth proportional to 470,074.81, 648,704.55 and 255,215.83 is: 352,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,074.81 : 648,704.55 = 255,215.83 : x
  2. Step 2: Convert to fraction form
    470,074.81/648,704.55 = 255,215.83/x
  3. Step 3: Cross multiply
    470,074.81x = 648,704.55 × 255,215.83
  4. Step 4: Simplify right side
    470,074.81x = 165,559,670,153.03
  5. Step 5: Solve for x
    x = 165,559,670,153.03/470,074.81
  6. Step 6: Final answer
    x = 352,198.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.